113327746560 has 960 divisors, whose sum is σ = 487803064320. Its totient is φ = 23728619520.

The previous prime is 113327746439. The next prime is 113327746577. The reversal of 113327746560 is 65647723311.

113327746560 is a `hidden beast` number, since 1 + 13 + 3 + 2 + 7 + 74 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 94993324 + ... + 94994516.

It is an arithmetic number, because the mean of its divisors is an integer number (508128192).

Almost surely, 2^113327746560 is an apocalyptic number.

113327746560 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 113327746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243901532160).

113327746560 is an abundant number, since it is smaller than the sum of its proper divisors (374475317760).

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

113327746560 is a wasteful number, since it uses less digits than its factorization.

113327746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 113327746560 in words is "one hundred thirteen billion, three hundred twenty-seven million, seven hundred forty-six thousand, five hundred sixty".