>>115170073He is rich and has funneled that money into his crime fighting enterprises through shell companies and false identities.
And being someone who prepares for multiple eventualities, as demonstrated in both comics AND TV, where in he's actually utilized his money to solve a situation or bought something that he wouldn't carry with him, which would include say diapers for a rescued baby or coffee to keep himself awake. Plus his tendency to accessorise his crime fighting tools to fit his motif, from something understandable like a fearsome vehicle to something silly like his projectiles resembling a bat and the aforementioned usage of shell companies to aquire items. WHAT, EXACTLY, IS SO RIDICULOUS AND ANGER-INDUCING ABOUT A BAT CREDIT CARD?!