47993855625 has 135 divisors (see below), whose sum is σ = 91276698513. Its totient is φ = 24291036000.

The previous prime is 47993855617. The next prime is 47993855627. The reversal of 47993855625 is 52655839974.

The square root of 47993855625 is 219075.

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

47993855625 is a `hidden beast` number, since 4 + 79 + 9 + 3 + 8 + 556 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3762718281 + 44231137344 = 61341^2 + 210312^2 .

It is not a de Polignac number, because 47993855625 - 2³ = 47993855617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47993855627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 377904312 + ... + 377904438.

Almost surely, 2^47993855625 is an apocalyptic number.

47993855625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47993855625 is the 219075-th square number.

47993855625 is the 109538-th centered octagonal number.

It is an amenable number.

47993855625 is a deficient number, since it is larger than the sum of its proper divisors (43282842888).

47993855625 is an equidigital number, since it uses as much as digits as its factorization.

47993855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 158 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 47993855625 in words is "forty-seven billion, nine hundred ninety-three million, eight hundred fifty-five thousand, six hundred twenty-five".