113979936000 has 1152 divisors, whose sum is σ = 465286348800. Its totient is φ = 24153292800.

The previous prime is 113979935977. The next prime is 113979936011. The reversal of 113979936000 is 639979311.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1008671944 + ... + 1008672056.

It is an arithmetic number, because the mean of its divisors is an integer number (403894400).

Almost surely, 2^113979936000 is an apocalyptic number.

113979936000 is a gapful number since it is divisible by the number (10) 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 113979936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232643174400).

113979936000 is an abundant number, since it is smaller than the sum of its proper divisors (351306412800).

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

113979936000 is a wasteful number, since it uses less digits than its factorization.

113979936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The spelling of 113979936000 in words is "one hundred thirteen billion, nine hundred seventy-nine million, nine hundred thirty-six thousand".