113632669800 has 384 divisors, whose sum is σ = 423254160000. Its totient is φ = 27855360000.

The previous prime is 113632669793. The next prime is 113632669811. The reversal of 113632669800 is 8966236311.

113632669800 is a `hidden beast` number, since 1 + 1 + 3 + 632 + 6 + 6 + 9 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17616976 + ... + 17623424.

It is an arithmetic number, because the mean of its divisors is an integer number (1102224375).

Almost surely, 2^113632669800 is an apocalyptic number.

113632669800 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 113632669800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211627080000).

113632669800 is an abundant number, since it is smaller than the sum of its proper divisors (309621490200).

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

113632669800 is a wasteful number, since it uses less digits than its factorization.

113632669800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 113632669800 in words is "one hundred thirteen billion, six hundred thirty-two million, six hundred sixty-nine thousand, eight hundred".