[bogomipz]

Do most exchanges also run OTC desks or is the OTC desk generally a special type of exchange?

[argonaut]

It can be a service offered by an exchange or by another company. Coinbase and Binance have OTC desks, for example.

[bitcharmer]

Not exchanges. The reason is that, as GP indicated - oftentimes execution is spread across venues.

This is typically a role of a dedicated broker house or there is a special area in many investment banks that takes care of that as part of customer flow handling.

[smabie]

Usually OTC desks are seperate and are part of a prop trading firm.