113633665200 has 540 divisors, whose sum is σ = 435264615240. Its totient is φ = 27432345600.

The previous prime is 113633665183. The next prime is 113633665213. The reversal of 113633665200 is 2566336311.

113633665200 is a `hidden beast` number, since 1 + 1 + 363 + 36 + 65 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 153766431 + ... + 153767169.

Almost surely, 2^113633665200 is an apocalyptic number.

113633665200 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 113633665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217632307620).

113633665200 is an abundant number, since it is smaller than the sum of its proper divisors (321630950040).

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

113633665200 is a wasteful number, since it uses less digits than its factorization.

113633665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 113633665200 in words is "one hundred thirteen billion, six hundred thirty-three million, six hundred sixty-five thousand, two hundred".