Is there a limit to how many lotions and perfumes one can pack on a checked luggage for an international flight? I plan on gifting them

Apart from Customs, nobody cares how many perfumes you put in your checked luggage. As long as you fulfill the declaration requirements at the source or destination. You may very well have to pay duties/taxes on your import if they exceed your duty free allowance at the destination.

Fair use policy still applies. Perfumes are flammable mostly and you can’t just pack a big bunch of them without raising some eyebrows. Whether 16 bottles are too many can only be reliably answered if you mention where is the flight originating from and what’s the destination and possibly the airline.