There are 195 countries in the world today. This total comprises 193 countries that are member states of the United Nations and 2 countries that are non-member observer states: the Holy See and the State of Palestine.
There are 50 US states.
The United States currently administers 16 territories as insular areas:
American Samoa.
Guam.
Northern Mariana Islands.
Puerto Rico.
U.S. Virgin Islands.
This information is from three sources. United Nations, Wikipedia, and United States and their satellite states aka countries.