113918665728 has 352 divisors, whose sum is σ = 376020209664. Its totient is φ = 29917052928.

The previous prime is 113918665703. The next prime is 113918665747. The reversal of 113918665728 is 827566819311.

It is a super-4 number, since 4×113918665728⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15715801 + ... + 15723047.

It is an arithmetic number, because the mean of its divisors is an integer number (1068239232).

Almost surely, 2^113918665728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113918665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188010104832).

113918665728 is an abundant number, since it is smaller than the sum of its proper divisors (262101543936).

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

113918665728 is a wasteful number, since it uses less digits than its factorization.

113918665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7319 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The spelling of 113918665728 in words is "one hundred thirteen billion, nine hundred eighteen million, six hundred sixty-five thousand, seven hundred twenty-eight".