113997132864000 has 1920 divisors, whose sum is σ = 445693280947200. Its totient is φ = 28709285068800.

The previous prime is 113997132863959. The next prime is 113997132864019. The reversal of 113997132864000 is 468231799311.

113997132864000 is a `hidden beast` number, since 1 + 1 + 3 + 99 + 71 + 3 + 2 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68302655166 + ... + 68302656834.

It is an arithmetic number, because the mean of its divisors is an integer number (232131917160).

Almost surely, 2^{113997132864000} is an apocalyptic number.

113997132864000 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 113997132864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222846640473600).

113997132864000 is an abundant number, since it is smaller than the sum of its proper divisors (331696148083200).

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

113997132864000 is an equidigital number, since it uses as much as digits as its factorization.

113997132864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 113997132864000 in words is "one hundred thirteen trillion, nine hundred ninety-seven billion, one hundred thirty-two million, eight hundred sixty-four thousand".