113260972784256 has 384 divisors, whose sum is σ = 368238893256000. Its totient is φ = 33099336990720.

The previous prime is 113260972784221. The next prime is 113260972784291. The reversal of 113260972784256 is 652487279062311.

It is a happy number.

113260972784256 is a `hidden beast` number, since 1 + 1 + 3 + 26 + 0 + 97 + 278 + 4 + 256 = 666.

113260972784256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113260972784221) and next prime (113260972784291).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 113260972784193 and 113260972784202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315492796 + ... + 315851588.

It is a 1-persistent number, because it is pandigital, but 2⋅113260972784256 = 226521945568512 is not.

Almost surely, 2^{113260972784256} is an apocalyptic number.

113260972784256 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 113260972784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184119446628000).

113260972784256 is an abundant number, since it is smaller than the sum of its proper divisors (254977920471744).

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

113260972784256 is a wasteful number, since it uses less digits than its factorization.

113260972784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359712 (or 359697 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 113260972784256 in words is "one hundred thirteen trillion, two hundred sixty billion, nine hundred seventy-two million, seven hundred eighty-four thousand, two hundred fifty-six".