112939102091088 has 2400 divisors, whose sum is σ = 443522411637760. Its totient is φ = 26547069911040.

The previous prime is 112939102091059. The next prime is 112939102091111. The reversal of 112939102091088 is 880190201939211.

It is a happy number.

112939102091088 is a `hidden beast` number, since 1 + 129 + 391 + 0 + 20 + 9 + 108 + 8 = 666.

It is a super-3 number, since 3×112939102091088³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 97952386320 + ... + 97952387472.

Almost surely, 2^{112939102091088} is an apocalyptic number.

112939102091088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112939102091088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221761205818880).

112939102091088 is an abundant number, since it is smaller than the sum of its proper divisors (330583309546672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112939102091088 is a wasteful number, since it uses less digits than its factorization.

112939102091088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 112939102091088 in words is "one hundred twelve trillion, nine hundred thirty-nine billion, one hundred two million, ninety-one thousand, eighty-eight".