12457908225 has 81 divisors (see below), whose sum is σ = 25980959043. Its totient is φ = 5689686240.

The previous prime is 12457908187. The next prime is 12457908241. The reversal of 12457908225 is 52280975421.

The square root of 12457908225 is 111615.

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

12457908225 is a `hidden beast` number, since 12 + 457 + 90 + 82 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4484846961 + 7973061264 = 66969^2 + 89292^2 .

It is not a de Polignac number, because 12457908225 - 2⁹ = 12457907713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11719044 + ... + 11720106.

Almost surely, 2^12457908225 is an apocalyptic number.

12457908225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12457908225 is the 111615-th square number.

12457908225 is the 55808-th centered octagonal number.

It is an amenable number.

12457908225 is an abundant number, since it is smaller than the sum of its proper divisors (13523050818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12457908225 is an equidigital number, since it uses as much as digits as its factorization.

12457908225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12457908225 in words is "twelve billion, four hundred fifty-seven million, nine hundred eight thousand, two hundred twenty-five".