112823435664 has 135 divisors (see below), whose sum is σ = 330345455713. Its totient is φ = 35943131136.

The previous prime is 112823435629. The next prime is 112823435761. The reversal of 112823435664 is 466534328211.

The square root of 112823435664 is 335892.

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

112823435664 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 234 + 356 + 64 = 666.

112823435664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37861376400 + 74962059264 = 194580^2 + 273792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92705584 + ... + 92706800.

Almost surely, 2^112823435664 is an apocalyptic number.

112823435664 is the 335892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112823435664

112823435664 is an abundant number, since it is smaller than the sum of its proper divisors (217522020049).

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

112823435664 is an equidigital number, since it uses as much as digits as its factorization.

112823435664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 1245 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 112823435664 in words is "one hundred twelve billion, eight hundred twenty-three million, four hundred thirty-five thousand, six hundred sixty-four".