113027072256 has 432 divisors, whose sum is σ = 384549984000. Its totient is φ = 31910731776.

The previous prime is 113027072239. The next prime is 113027072281. The reversal of 113027072256 is 652270720311.

113027072256 is a `hidden beast` number, since 1 + 130 + 270 + 7 + 2 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113027072256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70333405 + ... + 70335011.

It is an arithmetic number, because the mean of its divisors is an integer number (890162000).

Almost surely, 2^113027072256 is an apocalyptic number.

113027072256 is a gapful number since it is divisible by the number (16) 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 113027072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192274992000).

113027072256 is an abundant number, since it is smaller than the sum of its proper divisors (271522911744).

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

113027072256 is an equidigital number, since it uses as much as digits as its factorization.

113027072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 113027072256 its reverse (652270720311), we get a palindrome (765297792567).

The spelling of 113027072256 in words is "one hundred thirteen billion, twenty-seven million, seventy-two thousand, two hundred fifty-six".