338610585601 has 2 divisors, whose sum is σ = 338610585602. Its totient is φ = 338610585600.

The previous prime is 338610585589. The next prime is 338610585617. The reversal of 338610585601 is 106585016833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238511117376 + 100099468225 = 488376^2 + 316385^2 .

It is a cyclic number.

It is not a de Polignac number, because 338610585601 - 2¹⁷ = 338610454529 is a prime.

It is a super-2 number, since 2×338610585601² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338610585641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169305292800 + 169305292801.

It is an arithmetic number, because the mean of its divisors is an integer number (169305292801).

Almost surely, 2^338610585601 is an apocalyptic number.

It is an amenable number.

338610585601 is a deficient number, since it is larger than the sum of its proper divisors (1).

338610585601 is an equidigital number, since it uses as much as digits as its factorization.

338610585601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 338610585601 in words is "three hundred thirty-eight billion, six hundred ten million, five hundred eighty-five thousand, six hundred one".