113004460800 has 2160 divisors, whose sum is σ = 552027168000. Its totient is φ = 22096281600.

The previous prime is 113004460783. The next prime is 113004460843. The reversal of 113004460800 is 8064400311.

113004460800 is a `hidden beast` number, since 1 + 13 + 0 + 0 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 758419126 + ... + 758419274.

Almost surely, 2^113004460800 is an apocalyptic number.

113004460800 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 113004460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276013584000).

113004460800 is an abundant number, since it is smaller than the sum of its proper divisors (439022707200).

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

113004460800 is a wasteful number, since it uses less digits than its factorization.

113004460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 113004460800 in words is "one hundred thirteen billion, four million, four hundred sixty thousand, eight hundred".