12638304225 has 72 divisors (see below), whose sum is σ = 22932379704. Its totient is φ = 6652800000.

The previous prime is 12638304191. The next prime is 12638304253. The reversal of 12638304225 is 52240383621.

12638304225 is a `hidden beast` number, since 12 + 638 + 3 + 0 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1446356961 + 11191947264 = 38031^2 + 105792^2 .

It is not a de Polignac number, because 12638304225 - 2⁷ = 12638304097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12638304225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9566565 + ... + 9567885.

Almost surely, 2^12638304225 is an apocalyptic number.

12638304225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12638304225 is a deficient number, since it is larger than the sum of its proper divisors (10294075479).

12638304225 is a wasteful number, since it uses less digits than its factorization.

12638304225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12638304225 its reverse (52240383621), we get a palindrome (64878687846).

The spelling of 12638304225 in words is "twelve billion, six hundred thirty-eight million, three hundred four thousand, two hundred twenty-five".