113895666560 has 256 divisors, whose sum is σ = 304499865600. Its totient is φ = 40453447680.

The previous prime is 113895666559. The next prime is 113895666587. The reversal of 113895666560 is 65666598311.

It is a super-2 number, since 2×113895666560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113895666496 and 113895666505.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 46166447 + ... + 46168913.

It is an arithmetic number, because the mean of its divisors is an integer number (1189452600).

Almost surely, 2^113895666560 is an apocalyptic number.

113895666560 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 113895666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152249932800).

113895666560 is an abundant number, since it is smaller than the sum of its proper divisors (190604199040).

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

113895666560 is a wasteful number, since it uses less digits than its factorization.

113895666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 56.

The spelling of 113895666560 in words is "one hundred thirteen billion, eight hundred ninety-five million, six hundred sixty-six thousand, five hundred sixty".