112353676864 has 189 divisors, whose sum is σ = 266272578579. Its totient is φ = 46980510720.

The previous prime is 112353676849. The next prime is 112353676873. The reversal of 112353676864 is 468676353211.

The square root of 112353676864 is 335192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2872102464 + 109481574400 = 53592^2 + 330880^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 383459502 + ... + 383459794.

Almost surely, 2^112353676864 is an apocalyptic number.

112353676864 is the 335192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112353676864

112353676864 is an abundant number, since it is smaller than the sum of its proper divisors (153918901715).

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

112353676864 is an equidigital number, since it uses as much as digits as its factorization.

112353676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 319 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 112353676864 in words is "one hundred twelve billion, three hundred fifty-three million, six hundred seventy-six thousand, eight hundred sixty-four".