113605632000 has 896 divisors, whose sum is σ = 480889543680. Its totient is φ = 25922764800.

The previous prime is 113605631983. The next prime is 113605632011. The reversal of 113605632000 is 236506311.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193535707 + ... + 193536293.

It is an arithmetic number, because the mean of its divisors is an integer number (536707080).

Almost surely, 2^113605632000 is an apocalyptic number.

113605632000 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 113605632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240444771840).

113605632000 is an abundant number, since it is smaller than the sum of its proper divisors (367283911680).

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

113605632000 is an frugal number, since it uses more digits than its factorization.

113605632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 113605632000 in words is "one hundred thirteen billion, six hundred five million, six hundred thirty-two thousand".