93376080625 has 45 divisors (see below), whose sum is σ = 124122820327. Its totient is φ = 70208912000.

The previous prime is 93376080619. The next prime is 93376080653. The reversal of 93376080625 is 52608067339.

It is a happy number.

The square root of 93376080625 is 305575.

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 45600612849 + 47775467776 = 213543^2 + 218576^2 .

It is not a de Polignac number, because 93376080625 - 2³ = 93376080617 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, 129869016 + ... + 129869734.

Almost surely, 2^93376080625 is an apocalyptic number.

93376080625 is the 305575-th square number.

93376080625 is the 152788-th centered octagonal number.

It is an amenable number.

93376080625 is a deficient number, since it is larger than the sum of its proper divisors (30746739702).

93376080625 is an frugal number, since it uses more digits than its factorization.

93376080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 93376080625 by its sum of digits (49), we get a square (4575427950625 = 2139025²).

The spelling of 93376080625 in words is "ninety-three billion, three hundred seventy-six million, eighty thousand, six hundred twenty-five".