98768775625 has 45 divisors (see below), whose sum is σ = 133784074611. Its totient is φ = 72861516000.

The previous prime is 98768775601. The next prime is 98768775691. The reversal of 98768775625 is 52657786789.

The square root of 98768775625 is 314275.

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 97556900281 + 1211875344 = 312341^2 + 34812^2 .

It is not a de Polignac number, because 98768775625 - 2⁹ = 98768775113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102138892 + ... + 102139858.

Almost surely, 2^98768775625 is an apocalyptic number.

98768775625 is the 314275-th square number.

98768775625 is the 157138-th centered octagonal number.

It is an amenable number.

98768775625 is a deficient number, since it is larger than the sum of its proper divisors (35015298986).

98768775625 is an frugal number, since it uses more digits than its factorization.

98768775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 985 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 70.

The spelling of 98768775625 in words is "ninety-eight billion, seven hundred sixty-eight million, seven hundred seventy-five thousand, six hundred twenty-five".