8874589950625 has 135 divisors (see below), whose sum is σ = 13383223481199. Its totient is φ = 5865581064000.

The previous prime is 8874589950617. The next prime is 8874589950631. The reversal of 8874589950625 is 5260599854788.

The square root of 8874589950625 is 2979025.

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 6637543253649 + 2237046696976 = 2576343^2 + 1495676^2 .

It is not a de Polignac number, because 8874589950625 - 2³ = 8874589950617 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, 15118551582 + ... + 15118552168.

Almost surely, 2^{8874589950625} is an apocalyptic number.

8874589950625 is the 2979025-th square number.

8874589950625 is the 1489513-rd centered octagonal number.

It is an amenable number.

8874589950625 is a deficient number, since it is larger than the sum of its proper divisors (4508633530574).

8874589950625 is an frugal number, since it uses more digits than its factorization.

8874589950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 76.

The spelling of 8874589950625 in words is "eight trillion, eight hundred seventy-four billion, five hundred eighty-nine million, nine hundred fifty thousand, six hundred twenty-five".