Currently 45! 2 of which were released, and there's the time where he caught 29 male Combee in attempt to find a shiny Female, which he does-

He would normally rotate his Pokemon all except for his Dragonite and Cloud, some notable reserves being Decidueye, Inteleon (For his acting job mainly), and his Rotom that is in his phone. Though Rotom is very timid, so it prefers to be in his phone instead of battling