92968646100625 has 135 divisors (see below), whose sum is σ = 125294009972439. Its totient is φ = 68950506456000.

The previous prime is 92968646100601. The next prime is 92968646100653. The reversal of 92968646100625 is 52600164686929.

The square root of 92968646100625 is 9642025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 51586855395201 + 41381790705424 = 7182399^2 + 6432868^2 .

It is not a de Polignac number, because 92968646100625 - 2¹¹ = 92968646098577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 242737979184 + ... + 242737979566.

Almost surely, 2^{92968646100625} is an apocalyptic number.

92968646100625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

92968646100625 is the 9642025-th square number.

92968646100625 is the 4821013-rd centered octagonal number.

It is an amenable number.

92968646100625 is a deficient number, since it is larger than the sum of its proper divisors (32325363871814).

92968646100625 is an frugal number, since it uses more digits than its factorization.

92968646100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 92968646100625 in words is "ninety-two trillion, nine hundred sixty-eight billion, six hundred forty-six million, one hundred thousand, six hundred twenty-five".