48604816225 has 27 divisors (see below), whose sum is σ = 70121099667. Its totient is φ = 33323725680.

The previous prime is 48604816219. The next prime is 48604816319. The reversal of 48604816225 is 52261840684.

The square root of 48604816225 is 220465.

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

It can be written as a sum of positive squares in only one way, i.e., 17497733841 + 31107082384 = 132279^2 + 176372^2 .

It is not a de Polignac number, because 48604816225 - 2⁵ = 48604816193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7713126 + ... + 7719424.

Almost surely, 2^48604816225 is an apocalyptic number.

48604816225 is the 220465-th square number.

48604816225 is the 110233-rd centered octagonal number.

It is an amenable number.

48604816225 is a deficient number, since it is larger than the sum of its proper divisors (21516283442).

48604816225 is an frugal number, since it uses more digits than its factorization.

48604816225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 48604816225 in words is "forty-eight billion, six hundred four million, eight hundred sixteen thousand, two hundred twenty-five".