113852856960 has 512 divisors, whose sum is σ = 434250720000. Its totient is φ = 28086239232.

The previous prime is 113852856947. The next prime is 113852856961. The reversal of 113852856960 is 69658258311.

113852856960 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 528 + 56 + 9 + 60 = 666.

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 = 113852856897 and 113852856906.

It is not an unprimeable number, because it can be changed into a prime (113852856961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17328556 + ... + 17335124.

Almost surely, 2^113852856960 is an apocalyptic number.

113852856960 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 113852856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217125360000).

113852856960 is an abundant number, since it is smaller than the sum of its proper divisors (320397863040).

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

113852856960 is a wasteful number, since it uses less digits than its factorization.

113852856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 113852856960 in words is "one hundred thirteen billion, eight hundred fifty-two million, eight hundred fifty-six thousand, nine hundred sixty".