Yes, you should go to the hospital immediately for rabies prophylaxis. Bats are known carriers of rabies and they don’t have to bite to transmit rabies. Studies have shown that bats can transmit the rabies virus to humans through aerosolized particles of saliva and feces. Rabies is almost universally deadly once symptoms start but rabies can be effectively prevented. Therefore, anyone with close exposure to bats should be treated with rabies prophylaxis immediately.