113079950919936 has 2304 divisors, whose sum is σ = 476023726080000. Its totient is φ = 25526580019200.

The previous prime is 113079950919917. The next prime is 113079950919941. The reversal of 113079950919936 is 639919059970311.

It is a happy number.

113079950919936 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 79 + 9 + 509 + 19 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×113079950919936² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7935984940 + ... + 7935999188.

It is an arithmetic number, because the mean of its divisors is an integer number (206607520000).

Almost surely, 2^{113079950919936} is an apocalyptic number.

113079950919936 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 113079950919936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238011863040000).

113079950919936 is an abundant number, since it is smaller than the sum of its proper divisors (362943775160064).

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

113079950919936 is a wasteful number, since it uses less digits than its factorization.

113079950919936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14373 (or 14353 counting only the distinct ones).

The product of its (nonzero) digits is 111602610, while the sum is 72.

The spelling of 113079950919936 in words is "one hundred thirteen trillion, seventy-nine billion, nine hundred fifty million, nine hundred nineteen thousand, nine hundred thirty-six".