113655763728 has 360 divisors, whose sum is σ = 354582832032. Its totient is φ = 33950472192.

The previous prime is 113655763723. The next prime is 113655763787. The reversal of 113655763728 is 827367556311.

113655763728 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 557 + 63 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (113655763723) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 327538051 + ... + 327538397.

Almost surely, 2^113655763728 is an apocalyptic number.

113655763728 is a gapful number since it is divisible by the number (18) 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 113655763728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177291416016).

113655763728 is an abundant number, since it is smaller than the sum of its proper divisors (240927068304).

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

113655763728 is a wasteful number, since it uses less digits than its factorization.

113655763728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 721 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 113655763728 in words is "one hundred thirteen billion, six hundred fifty-five million, seven hundred sixty-three thousand, seven hundred twenty-eight".