112955668224 has 144 divisors (see below), whose sum is σ = 363783990528. Its totient is φ = 30374608896.

The previous prime is 112955668169. The next prime is 112955668229. The reversal of 112955668224 is 422866559211.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112955668229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 526582 + ... + 709365.

It is an arithmetic number, because the mean of its divisors is an integer number (2526277712).

Almost surely, 2^112955668224 is an apocalyptic number.

112955668224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112955668224 is an abundant number, since it is smaller than the sum of its proper divisors (250828322304).

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

112955668224 is a wasteful number, since it uses less digits than its factorization.

112955668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235990 (or 1235976 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The spelling of 112955668224 in words is "one hundred twelve billion, nine hundred fifty-five million, six hundred sixty-eight thousand, two hundred twenty-four".