User blog comment:Antares.I.G.Harrison/Small Googological question/@comment-10429372-20150214121955

This number is quite close to tritri itself. Note that tritri is

3^^7625597484987=33^^7625597484986 = 103^^7625597484986*log3(10)

So it has ceil(3^^7625597484986*log3(10)) digits. Now we divide that by approx. 3^3^5 (just a random estimate). That would mean ceil(3^^7625597484986*log3(10))/3^3^5 universes, which is more than 3^^7625597484986/3^3^5 universes, which is 3^(3^^7625597484985-3^5), which is much smaller than 3^3^(3^^7625597484984-1).