112256461863225 has 45 divisors (see below), whose sum is σ = 207938655239007. Its totient is φ = 59869858710960.

The previous prime is 112256461863199. The next prime is 112256461863239. The reversal of 112256461863225 is 522368164652211.

The square root of 112256461863225 is 10595115.

It is a perfect power (a square), and thus also a powerful number.

112256461863225 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 56 + 461 + 86 + 32 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40412326270761 + 71844135592464 = 6357069^2 + 8476092^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 112256461863225 - 2²⁹ = 112255924992313 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 476662452 + ... + 476897898.

Almost surely, 2^{112256461863225} is an apocalyptic number.

112256461863225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112256461863225 is the 10595115-th square number.

112256461863225 is the 5297558-th centered octagonal number.

It is an amenable number.

112256461863225 is a deficient number, since it is larger than the sum of its proper divisors (95682193375782).

112256461863225 is an frugal number, since it uses more digits than its factorization.

112256461863225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470916 (or 235455 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 112256461863225 in words is "one hundred twelve trillion, two hundred fifty-six billion, four hundred sixty-one million, eight hundred sixty-three thousand, two hundred twenty-five".