112779281568960 has 224 divisors, whose sum is σ = 401578566635520. Its totient is φ = 29793404980224.

The previous prime is 112779281568949. The next prime is 112779281568973. The reversal of 112779281568960 is 69865182977211.

It is a happy number.

112779281568960 is a `hidden beast` number, since 11 + 27 + 7 + 9 + 28 + 1 + 568 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 60071584 + ... + 61920543.

Almost surely, 2^{112779281568960} is an apocalyptic number.

112779281568960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112779281568960 is an abundant number, since it is smaller than the sum of its proper divisors (288799285066560).

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

112779281568960 is a wasteful number, since it uses less digits than its factorization.

112779281568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121992260 (or 121992244 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 112779281568960 in words is "one hundred twelve trillion, seven hundred seventy-nine billion, two hundred eighty-one million, five hundred sixty-eight thousand, nine hundred sixty".