113722068096 has 1024 divisors, whose sum is σ = 440189568000. Its totient is φ = 28092137472.

The previous prime is 113722068007. The next prime is 113722068101. The reversal of 113722068096 is 690860227311.

It is a super-2 number, since 2×113722068096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337454040 + ... + 337454376.

It is an arithmetic number, because the mean of its divisors is an integer number (429872625).

Almost surely, 2^113722068096 is an apocalyptic number.

113722068096 is a gapful number since it is divisible by the number (16) 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 113722068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220094784000).

113722068096 is an abundant number, since it is smaller than the sum of its proper divisors (326467499904).

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

113722068096 is a wasteful number, since it uses less digits than its factorization.

113722068096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 113722068096 in words is "one hundred thirteen billion, seven hundred twenty-two million, sixty-eight thousand, ninety-six".