113235442866720 has 3072 divisors, whose sum is σ = 469445953536000. Its totient is φ = 25321940582400.

The previous prime is 113235442866683. The next prime is 113235442866751. The reversal of 113235442866720 is 27668244532311.

113235442866720 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 3 + 544 + 28 + 6 + 6 + 72 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 136923146947 + ... + 136923147773.

It is an arithmetic number, because the mean of its divisors is an integer number (152814438000).

Almost surely, 2^{113235442866720} is an apocalyptic number.

113235442866720 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 113235442866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234722976768000).

113235442866720 is an abundant number, since it is smaller than the sum of its proper divisors (356210510669280).

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

113235442866720 is a wasteful number, since it uses less digits than its factorization.

113235442866720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 113235442866720 in words is "one hundred thirteen trillion, two hundred thirty-five billion, four hundred forty-two million, eight hundred sixty-six thousand, seven hundred twenty".