113764512960 has 672 divisors, whose sum is σ = 479824450560. Its totient is φ = 25103167488.

The previous prime is 113764512959. The next prime is 113764512971. The reversal of 113764512960 is 69215467311.

113764512960 is a `hidden beast` number, since 1 + 1 + 3 + 76 + 4 + 512 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 15781677 + ... + 15788883.

It is an arithmetic number, because the mean of its divisors is an integer number (714024480).

Almost surely, 2^113764512960 is an apocalyptic number.

113764512960 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 113764512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239912225280).

113764512960 is an abundant number, since it is smaller than the sum of its proper divisors (366059937600).

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

113764512960 is an equidigital number, since it uses as much as digits as its factorization.

113764512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 113764512960 in words is "one hundred thirteen billion, seven hundred sixty-four million, five hundred twelve thousand, nine hundred sixty".