113673382200 has 576 divisors, whose sum is σ = 461006208000. Its totient is φ = 24549073920.

The previous prime is 113673382189. The next prime is 113673382211. The reversal of 113673382200 is 2283376311.

113673382200 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 73 + 382 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (113673382189) and next prime (113673382211).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17170491 + ... + 17177109.

It is an arithmetic number, because the mean of its divisors is an integer number (800358000).

Almost surely, 2^113673382200 is an apocalyptic number.

113673382200 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 113673382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230503104000).

113673382200 is an abundant number, since it is smaller than the sum of its proper divisors (347332825800).

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

113673382200 is a wasteful number, since it uses less digits than its factorization.

113673382200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 113673382200 in words is "one hundred thirteen billion, six hundred seventy-three million, three hundred eighty-two thousand, two hundred".