113363815680 has 504 divisors, whose sum is σ = 420366750720. Its totient is φ = 29247713280.

The previous prime is 113363815667. The next prime is 113363815687. The reversal of 113363815680 is 86518363311.

113363815680 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 6 + 3 + 81 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113363815687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28924761 + ... + 28928679.

Almost surely, 2^113363815680 is an apocalyptic number.

113363815680 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 113363815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210183375360).

113363815680 is an abundant number, since it is smaller than the sum of its proper divisors (307002935040).

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

113363815680 is an frugal number, since it uses more digits than its factorization.

113363815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 113363815680 in words is "one hundred thirteen billion, three hundred sixty-three million, eight hundred fifteen thousand, six hundred eighty".