48962625625 has 45 divisors (see below), whose sum is σ = 62735536171. Its totient is φ = 38200916000.

The previous prime is 48962625623. The next prime is 48962625637. The reversal of 48962625625 is 52652626984.

It is a happy number.

The square root of 48962625625 is 221275.

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 27168599241 + 21794026384 = 164829^2 + 147628^2 .

It is not a de Polignac number, because 48962625625 - 2¹ = 48962625623 is a prime.

It is a Duffinian number.

Its product of digits (12441600) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (48962625623) 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 44 ways as a sum of consecutive naturals, for example, 293189292 + ... + 293189458.

Almost surely, 2^48962625625 is an apocalyptic number.

48962625625 is the 221275-th square number.

48962625625 is the 110638-th centered octagonal number.

It is an amenable number.

48962625625 is a deficient number, since it is larger than the sum of its proper divisors (13772910546).

48962625625 is an frugal number, since it uses more digits than its factorization.

48962625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 225 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 55.

The spelling of 48962625625 in words is "forty-eight billion, nine hundred sixty-two million, six hundred twenty-five thousand, six hundred twenty-five".