113932638720 has 640 divisors, whose sum is σ = 423197913600. Its totient is φ = 29016981504.

The previous prime is 113932638719. The next prime is 113932638769. The reversal of 113932638720 is 27836239311.

113932638720 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 3 + 2 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 226505989 + ... + 226506491.

It is an arithmetic number, because the mean of its divisors is an integer number (661246740).

Almost surely, 2^113932638720 is an apocalyptic number.

113932638720 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 113932638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211598956800).

113932638720 is an abundant number, since it is smaller than the sum of its proper divisors (309265274880).

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

113932638720 is a wasteful number, since it uses less digits than its factorization.

113932638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 113932638720 in words is "one hundred thirteen billion, nine hundred thirty-two million, six hundred thirty-eight thousand, seven hundred twenty".