112716973080625 has 45 divisors (see below), whose sum is σ = 141388148410509. Its totient is φ = 89831079690000.

The previous prime is 112716973080583. The next prime is 112716973080629. The reversal of 112716973080625 is 526080379617211.

The square root of 112716973080625 is 10616825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8837010689521 + 103879962391104 = 2972711^2 + 10192152^2 .

It is not a de Polignac number, because 112716973080625 - 2¹⁵ = 112716973047857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112716973080625.

It is not an unprimeable number, because it can be changed into a prime (112716973080629) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 87854226234 + ... + 87854227516.

Almost surely, 2^{112716973080625} is an apocalyptic number.

112716973080625 is the 10616825-th square number.

112716973080625 is the 5308413-rd centered octagonal number.

It is an amenable number.

112716973080625 is a deficient number, since it is larger than the sum of its proper divisors (28671175329884).

112716973080625 is an frugal number, since it uses more digits than its factorization.

112716973080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 112716973080625 in words is "one hundred twelve trillion, seven hundred sixteen billion, nine hundred seventy-three million, eighty thousand, six hundred twenty-five".