12638814222321 has 243 divisors, whose sum is σ = 22644277904313. Its totient is φ = 6772913068320.

The previous prime is 12638814222271. The next prime is 12638814222373. The reversal of 12638814222321 is 12322241883621.

12638814222321 = 1³ + 2³ + ... + 2666³.

The square root of 12638814222321 is 3555111.

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

12638814222321 is a `hidden beast` number, since 1 + 2 + 6 + 388 + 1 + 42 + 223 + 2 + 1 = 666.

It is not a de Polignac number, because 12638814222321 - 2¹⁷ = 12638814091249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12638814222421) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 99518222160 + ... + 99518222286.

Almost surely, 2^{12638814222321} is an apocalyptic number.

12638814222321 is the 3555111-st square number.

12638814222321 is the 1777556-th centered octagonal number.

It is an amenable number.

12638814222321 is a deficient number, since it is larger than the sum of its proper divisors (10005463681992).

12638814222321 is an equidigital number, since it uses as much as digits as its factorization.

12638814222321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 12638814222321 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred fourteen million, two hundred twenty-two thousand, three hundred twenty-one".