Synonymous with big wig, big shot, etc, but more derogatory.
Usually the affluent and successful owner or senior manager of an establishment that neglects taking responsibility and shirks responding to complaints. Hence, a contemptible person who causes much grief to many people but is never around to be held to account.
"I said pubes in my fucking burger, do you need me to spell it out to you? Someone get me the manager! Put him on the phone right this moment. I want to talk to the big dicks who run this joint and give them a piece of my fucking mind! I am THIS close to suing this place into the ground."