Congress doesn’t want Social Security converted to a private pension system because then they won’t be able to tap that big, huge pile of money for buying votes from Democrats.
If no one has any idea what’s going on in Social Security then no one will easily notice that the system is short a trillion dollars or so.
If you count 14 trillion dollars as “or so” then you are correct. http://www.usdebtclock.org/
Tack on another 27 trillion for medicare, too.