113885072313600 has 3456 divisors, whose sum is σ = 503282347868160. Its totient is φ = 22035801047040.

The previous prime is 113885072313517. The next prime is 113885072313611. The reversal of 113885072313600 is 6313270588311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113885072313600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 166742418859 + ... + 166742419541.

It is an arithmetic number, because the mean of its divisors is an integer number (145625679360).

Almost surely, 2^{113885072313600} is an apocalyptic number.

113885072313600 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 113885072313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251641173934080).

113885072313600 is an abundant number, since it is smaller than the sum of its proper divisors (389397275554560).

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

113885072313600 is a wasteful number, since it uses less digits than its factorization.

113885072313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 113885072313600 in words is "one hundred thirteen trillion, eight hundred eighty-five billion, seventy-two million, three hundred thirteen thousand, six hundred".