113722660800 has 672 divisors, whose sum is σ = 498745459200. Its totient is φ = 24624414720.

The previous prime is 113722660783. The next prime is 113722660801. The reversal of 113722660800 is 8066227311.

113722660800 is a `hidden beast` number, since 11 + 37 + 2 + 2 + 6 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113722660801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5735704 + ... + 5755496.

Almost surely, 2^113722660800 is an apocalyptic number.

113722660800 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 113722660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249372729600).

113722660800 is an abundant number, since it is smaller than the sum of its proper divisors (385022798400).

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

113722660800 is a wasteful number, since it uses less digits than its factorization.

113722660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 113722660800 in words is "one hundred thirteen billion, seven hundred twenty-two million, six hundred sixty thousand, eight hundred".