112864007467649 has 12 divisors (see below), whose sum is σ = 117986856129156. Its totient is φ = 107954713270272.

The previous prime is 112864007467639. The next prime is 112864007467703. The reversal of 112864007467649 is 946764700468211.

It can be written as a sum of positive squares in 2 ways, for example, as 34393908495424 + 78470098972225 = 5864632^2 + 8858335^2 .

It is not a de Polignac number, because 112864007467649 - 2²⁸ = 112863739032193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112864007467639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24600377 + ... + 28825449.

It is an arithmetic number, because the mean of its divisors is an integer number (9832238010763).

Almost surely, 2^{112864007467649} is an apocalyptic number.

It is an amenable number.

112864007467649 is a deficient number, since it is larger than the sum of its proper divisors (5122848661507).

112864007467649 is an equidigital number, since it uses as much as digits as its factorization.

112864007467649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275616 (or 4275593 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 112864007467649 in words is "one hundred twelve trillion, eight hundred sixty-four billion, seven million, four hundred sixty-seven thousand, six hundred forty-nine".