113978962056960 has 6912 divisors, whose sum is σ = 599837365370880. Its totient is φ = 19173998592000.

The previous prime is 113978962056937. The next prime is 113978962057039. The reversal of 113978962056960 is 69650269879311.

113978962056960 is a `hidden beast` number, since 1 + 1 + 39 + 7 + 8 + 9 + 6 + 20 + 569 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 264452347945 + ... + 264452348375.

It is an arithmetic number, because the mean of its divisors is an integer number (86782026240).

Almost surely, 2^{113978962056960} is an apocalyptic number.

113978962056960 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 113978962056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299918682685440).

113978962056960 is an abundant number, since it is smaller than the sum of its proper divisors (485858403313920).

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

113978962056960 is a wasteful number, since it uses less digits than its factorization.

113978962056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 113978962056960 in words is "one hundred thirteen trillion, nine hundred seventy-eight billion, nine hundred sixty-two million, fifty-six thousand, nine hundred sixty".