48626865225 has 81 divisors (see below), whose sum is σ = 88916271327. Its totient is φ = 25403328000.

The previous prime is 48626865173. The next prime is 48626865227. The reversal of 48626865225 is 52256862684.

The square root of 48626865225 is 220515.

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

48626865225 is a `hidden beast` number, since 4 + 8 + 626 + 8 + 6 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 44280364041 + 4346501184 = 210429^2 + 65928^2 .

It is not a de Polignac number, because 48626865225 - 2²⁵ = 48593310793 is a prime.

It is a super-2 number, since 2×48626865225² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48626865227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 201771105 + ... + 201771345.

Almost surely, 2^48626865225 is an apocalyptic number.

48626865225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48626865225 is the 220515-th square number.

48626865225 is the 110258-th centered octagonal number.

It is an amenable number.

48626865225 is a deficient number, since it is larger than the sum of its proper divisors (40289406102).

48626865225 is an equidigital number, since it uses as much as digits as its factorization.

48626865225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 48626865225 in words is "forty-eight billion, six hundred twenty-six million, eight hundred sixty-five thousand, two hundred twenty-five".