He's not actually a bat.. but when he was a young boy he was trapped in a well and he was afraid of bats from then on. So to conquer his fear he became it..
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Batman Returns
They call him BAT
In "The Batman" animated TV show, Joker disguises himself as Batman in the "The Laughing Bat" episode.
Batman: The Movie: Adam West Batman, Batman Returns: Michael Keaton Batman Forever: Val Kilmer Batman & Robin: George Clooney Batman Begins, The Dark Knight: Christian Bale
It's either with the Bat-signal, the JLA call him, or he just shows up.