113973816960 has 160 divisors (see below), whose sum is σ = 407021264100. Its totient is φ = 30393004032.

The previous prime is 113973816953. The next prime is 113973817063. The reversal of 113973816960 is 69618379311.

It is a happy number.

113973816960 is a `hidden beast` number, since 1 + 1 + 397 + 38 + 169 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106521293376 + 7452523584 = 326376^2 + 86328^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 113973816897 and 113973816906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047445 + ... + 1151124.

Almost surely, 2^113973816960 is an apocalyptic number.

113973816960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113973816960 is an abundant number, since it is smaller than the sum of its proper divisors (293047447140).

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

113973816960 is an equidigital number, since it uses as much as digits as its factorization.

113973816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198600 (or 2198579 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 113973816960 in words is "one hundred thirteen billion, nine hundred seventy-three million, eight hundred sixteen thousand, nine hundred sixty".