112864007467648 has 32 divisors (see below), whose sum is σ = 224846955725760. Its totient is φ = 56431830344448.

The previous prime is 112864007467639. The next prime is 112864007467703. The reversal of 112864007467648 is 846764700468211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×112864007467648³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 112864007467648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47254761 + ... + 49585687.

It is an arithmetic number, because the mean of its divisors is an integer number (7026467366430).

Almost surely, 2^{112864007467648} is an apocalyptic number.

It is an amenable number.

112864007467648 is a deficient number, since it is larger than the sum of its proper divisors (111982948258112).

112864007467648 is an equidigital number, since it uses as much as digits as its factorization.

112864007467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709224 (or 2709212 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 64.

The spelling of 112864007467648 in words is "one hundred twelve trillion, eight hundred sixty-four billion, seven million, four hundred sixty-seven thousand, six hundred forty-eight".