History & Definition:
Batman is a fictional character created by Bob Kane and written by Bill Finger. It’s published by DC Comics.
In his secret identity, Batman is Bruce Wayne, a wealthy businessman who lives in Gotham City. To the world at large, Bruce Wayne is often seen as an irresponsible, superficial playboy who lives off his family's personal fortune (amassed when Bruce's family invested in Gotham real estate before the city was a bustling metropolis) and the profits of Wayne Enterprises, a major private technology firm that he inherits. Bruce creates the playboy public persona to aid in throwing off suspicion of his secret identity, often acting dim-witted and self-absorbed to further the act. Bruce creates the playboy public persona to aid in throwing off suspicion of his secret identity, often acting dim-witted and self-absorbed to further the act. However, Wayne is also known for his contributions to charity, notably through his Wayne Foundation. Witnessing the murder of his parents as a child, Wayne trains himself both physically and intellectually and dons a bat-themed costume in order to fight crime. Batman lives in Gotham City, New York. He’s assisted by Robin and his butler Alfred Pennyworth. He does not possess any superpowers, but he makes use of intellect, detective skills, science and technology, wealth, physical prowess, and intimidation in his war on crime. So he still can be said as a superhero because he fights criminal.
The first Batman story, "The Case of the Chemical Syndicate," was published in Detective Comics #27 (May 1939). The early, pulp-inflected portrayal of Batman started to soften in Detective Comics #38 (April 1940) with the introduction of Robin, Batman's kid sidekick. Robin was introduced, based on Finger's suggestion Batman needed a "Watson" with whom Batman could talk. Sales nearly doubled, despite Kane's preference for a solo Batman, and it sparked a proliferation of "kid sidekicks". The first issue of the solo spin-off series Batman was notable not only for introducing two of his most persistent antagonists, the Joker and Catwoman, but for a story in which Batman shoots some monstrous giants to death.

Actually there are so many things about batman you should know, because batman has history, like when he was in his golden age, silver age, and modern batman.

Skill and Abilities :

As I told you before, that Batman is unlike many superheroes, Batman has no superpowers and instead relies on his own scientific knowledge, detective skills, and athletic prowess and he’s a great detective.

Costume :

Batman costume change repeatedly through various stories and media, but the most distinctive elements remain consistent: a scallop-hem cape, a cowl covering most of the face featuring a pair of batlike ears, and a stylized bat emblem on the chest, plus the ever-present utility belt. The costumes' colors are traditionally blue and grey. Batman's gloves typically feature three scallops that protrude from the sides. A yellow ellipse around the bat logo on the character's chest was added in 1964, and became the hero's trademark symbol.

Equipments :

Bat signal
When Batman is needed, the Gotham City police activate a searchlight with a bat-shaped insignia over the lens called the Bat-signal which shines into the night sky, creating a bat-symbol on a passing cloud which can be seen from any point in Gotham.

Bat Cave
The Batcave is Batman's secret headquarters, consisting of a series of subterranean caves beneath his Wayne Manor. It serves as his command center for both local and global surveillance, as well as housing his vehicles and equipment for his war on crime. It also is a storeroom for Batman's memorabilia.

Batman Ultility’s Belt
Batman utilizes a large arsenal of specialized gadgets in his war against crime, the designs of which usually share a bat motif.

Vehicle
Batman's primary vehicle is the Batmobile, which is usually depicted as an imposing black car with large tailfins that suggest a bat's wings. Batman's other vehicles include the Batplane (aka the Batwing), Batboat, Bat-Sub, and Batcycle.

Allies and Enemies :

Commissioner James "Jim" Gordon : Batman's ally in the Gotham City police
Alfred as his butler
Lucius Fox as his business manager and apparently unwitting armorer
Robin : batman’s young sidekick
The first Robin, Dick Grayson, eventually leaves his mentor and becomes the hero Nightwing. The second Robin, Jason Todd, is beaten to death by the Joker but later returns as an adversary. Tim Drake, the third Robin, first appears in 1989 and has gone on to star in his own comic series.

Vicki Vale

Silver St. Cloud

Wonder Woman

Sasha Bordeaux

Catwoman

Talia al Ghul

Joker : a clown-like criminal who as a "personification of the irrational"

The Penguin

The Riddler

Two-Face

Culture Impact :

Batman has become a pop culture icon, recognized around the world. The character's presence has extended beyond his comic book origins; events such as the release of the 1989 Batman film and its accompanying merchandising "brought the Batman to the forefront of public consciousness." In an article commemorating the sixtieth anniversary of the character, The Guardian wrote, "Batman is a figure blurred by the endless reinvention that is modern mass culture. He is at once an icon and a commodity: the perfect cultural artefact for the 21st century." In addition, media outlets have often used the character in trivial and comprehensive surveys- Forbes Magazine estimated Bruce Wayne to be the 7th-richest fictional character with his $6.8 billion fortune while BusinessWeek listed the character as one of the ten most intelligent superheroes appearing in American comics.