113975759711736 has 384 divisors, whose sum is σ = 353239143264000. Its totient is φ = 33848341067520.

The previous prime is 113975759711711. The next prime is 113975759711771. The reversal of 113975759711736 is 637117957579311.

113975759711736 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 7 + 575 + 9 + 7 + 1 + 17 + 36 = 666.

It is a super-2 number, since 2×113975759711736² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1022671231 + ... + 1022782673.

It is an arithmetic number, because the mean of its divisors is an integer number (919893602250).

Almost surely, 2^{113975759711736} 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 113975759711736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176619571632000).

113975759711736 is an abundant number, since it is smaller than the sum of its proper divisors (239263383552264).

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

113975759711736 is a wasteful number, since it uses less digits than its factorization.

113975759711736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111912 (or 111871 counting only the distinct ones).

The product of its digits is 262549350, while the sum is 72.

The spelling of 113975759711736 in words is "one hundred thirteen trillion, nine hundred seventy-five billion, seven hundred fifty-nine million, seven hundred eleven thousand, seven hundred thirty-six".