638582634401 has 2 divisors, whose sum is σ = 638582634402. Its totient is φ = 638582634400.

The previous prime is 638582634337. The next prime is 638582634421. The reversal of 638582634401 is 104436285836.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 627899344801 + 10683289600 = 792401^2 + 103360^2 .

It is a cyclic number.

It is not a de Polignac number, because 638582634401 - 2⁶ = 638582634337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 638582634401.

It is not a weakly prime, because it can be changed into another prime (638582634421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 319291317200 + 319291317201.

It is an arithmetic number, because the mean of its divisors is an integer number (319291317201).

Almost surely, 2^638582634401 is an apocalyptic number.

It is an amenable number.

638582634401 is a deficient number, since it is larger than the sum of its proper divisors (1).

638582634401 is an equidigital number, since it uses as much as digits as its factorization.

638582634401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 638582634401 in words is "six hundred thirty-eight billion, five hundred eighty-two million, six hundred thirty-four thousand, four hundred one".