113813145868800 has 480 divisors, whose sum is σ = 429852615350400. Its totient is φ = 26004302069760.

The previous prime is 113813145868783. The next prime is 113813145868831. The reversal of 113813145868800 is 8868541318311.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701218056 + ... + 701380344.

It is an arithmetic number, because the mean of its divisors is an integer number (895526281980).

Almost surely, 2^{113813145868800} is an apocalyptic number.

113813145868800 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 113813145868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214926307675200).

113813145868800 is an abundant number, since it is smaller than the sum of its proper divisors (316039469481600).

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

113813145868800 is a wasteful number, since it uses less digits than its factorization.

113813145868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164936 (or 164915 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 113813145868800 in words is "one hundred thirteen trillion, eight hundred thirteen billion, one hundred forty-five million, eight hundred sixty-eight thousand, eight hundred".