112816325979009 has 63 divisors (see below), whose sum is σ = 171992141999769. Its totient is φ = 73966447451520.

The previous prime is 112816325978987. The next prime is 112816325979017. The reversal of 112816325979009 is 900979523618211.

The square root of 112816325979009 is 10621503.

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

112816325979009 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 6 + 32 + 597 + 9 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5161991409 + 112811163987600 = 71847^2 + 10621260^2 .

It is not a de Polignac number, because 112816325979009 - 2⁵ = 112816325978977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112816325979029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17493612217 + ... + 17493618665.

Almost surely, 2^{112816325979009} is an apocalyptic number.

112816325979009 is the 10621503-rd square number.

112816325979009 is the 5310752-nd centered octagonal number.

It is an amenable number.

112816325979009 is a deficient number, since it is larger than the sum of its proper divisors (59175816020760).

112816325979009 is an frugal number, since it uses more digits than its factorization.

112816325979009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13038 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 112816325979009 in words is "one hundred twelve trillion, eight hundred sixteen billion, three hundred twenty-five million, nine hundred seventy-nine thousand, nine".