113079217152 has 264 divisors, whose sum is σ = 349305975360. Its totient is φ = 32247971840.

The previous prime is 113079217127. The next prime is 113079217189. The reversal of 113079217152 is 251712970311.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×113079217152² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113079217152.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9760099 + ... + 9771677.

Almost surely, 2^113079217152 is an apocalyptic number.

113079217152 is a gapful number since it is divisible by the number (12) 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 113079217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174652987680).

113079217152 is an abundant number, since it is smaller than the sum of its proper divisors (236226758208).

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

113079217152 is a wasteful number, since it uses less digits than its factorization.

113079217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The spelling of 113079217152 in words is "one hundred thirteen billion, seventy-nine million, two hundred seventeen thousand, one hundred fifty-two".