113600467200 has 432 divisors, whose sum is σ = 422204977152. Its totient is φ = 26649600000.

The previous prime is 113600467193. The next prime is 113600467247. The reversal of 113600467200 is 2764006311.

It is a super-2 number, since 2×113600467200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6538525 + ... + 6555875.

It is an arithmetic number, because the mean of its divisors is an integer number (977326336).

Almost surely, 2^113600467200 is an apocalyptic number.

113600467200 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 113600467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211102488576).

113600467200 is an abundant number, since it is smaller than the sum of its proper divisors (308604509952).

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

113600467200 is a wasteful number, since it uses less digits than its factorization.

113600467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17422 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 113600467200 in words is "one hundred thirteen billion, six hundred million, four hundred sixty-seven thousand, two hundred".