The Milky Way Galaxy is nearly 68 trillion times larger than .
A. The mean diameter of the Sun is about 1.392 x 10^6 km.
B. The diameter of the Milky Way is usually considered to be about 100000 light-years where 1 light-year = 9.461 x 10^12 km. This makes the diameter of the Milky Way to be about 9.461 x 10^17 km.
Dividing B by A we get 6.797 x 10^13 (or 67.97 x 10^12) or nearly 68 trillion times.
However there is evidence that the so-called Monoceros Ring located more than 65000 light-years from the center of the galaxy is actually a part of the Milky Way. This is a ring-like filament of stars wrapping around the Milky Way rippling above and below the relatively flat galactic plane.
The Milky Way may be 50 percent bigger than thought which would mean a diameter of 150000 light-years. In that case the Milky Way is about 100 trillion times larger than the Sun.