113508864000000 has 4480 divisors, whose sum is σ = 535250261208960. Its totient is φ = 23357030400000.

The previous prime is 113508863999963. The next prime is 113508864000047. The reversal of 113508864000000 is 468805311.

113508864000000 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 8 + 8 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 279 ways as a sum of consecutive naturals, for example, 4935167999989 + ... + 4935168000011.

Almost surely, 2^{113508864000000} is an apocalyptic number.

113508864000000 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 113508864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267625130604480).

113508864000000 is an abundant number, since it is smaller than the sum of its proper divisors (421741397208960).

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

113508864000000 is an frugal number, since it uses more digits than its factorization.

113508864000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 113508864000000 in words is "one hundred thirteen trillion, five hundred eight billion, eight hundred sixty-four million", and thus it is an aban number.