14975640625 has 63 divisors (see below), whose sum is σ = 20809557853. Its totient is φ = 10769000000.

The previous prime is 14975640623. The next prime is 14975640661. The reversal of 14975640625 is 52604657941.

The square root of 14975640625 is 122375.

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

14975640625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 7905521569 + 7070119056 = 88913^2 + 84084^2 .

It is not a de Polignac number, because 14975640625 - 2¹ = 14975640623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14975640623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 168265581 + ... + 168265669.

Almost surely, 2^14975640625 is an apocalyptic number.

14975640625 is the 122375-th square number.

14975640625 is the 61188-th centered octagonal number.

It is an amenable number.

14975640625 is a deficient number, since it is larger than the sum of its proper divisors (5833917228).

14975640625 is an frugal number, since it uses more digits than its factorization.

14975640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 14975640625 by its sum of digits (49), we get a square (733806390625 = 856625²).

The spelling of 14975640625 in words is "fourteen billion, nine hundred seventy-five million, six hundred forty thousand, six hundred twenty-five".