112867648364016 has 240 divisors, whose sum is σ = 396700353649600. Its totient is φ = 29767291706880.

The previous prime is 112867648363997. The next prime is 112867648364027. The reversal of 112867648364016 is 610463846768211.

112867648364016 is a `hidden beast` number, since 1 + 1 + 2 + 86 + 7 + 6 + 483 + 64 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 87247915 + ... + 88532106.

Almost surely, 2^{112867648364016} is an apocalyptic number.

112867648364016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112867648364016 is an abundant number, since it is smaller than the sum of its proper divisors (283832705285584).

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

112867648364016 is a wasteful number, since it uses less digits than its factorization.

112867648364016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175780069 (or 175780046 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 112867648364016 in words is "one hundred twelve trillion, eight hundred sixty-seven billion, six hundred forty-eight million, three hundred sixty-four thousand, sixteen".