338564242466833 has 2 divisors, whose sum is σ = 338564242466834. Its totient is φ = 338564242466832.

The previous prime is 338564242466761. The next prime is 338564242466839. The reversal of 338564242466833 is 338664242465833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336789187201489 + 1775055265344 = 18351817^2 + 1332312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338564242466833 is a prime.

It is a super-2 number, since 2×338564242466833² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338564242466839) 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, 169282121233416 + 169282121233417.

It is an arithmetic number, because the mean of its divisors is an integer number (169282121233417).

Almost surely, 2^{338564242466833} is an apocalyptic number.

It is an amenable number.

338564242466833 is a deficient number, since it is larger than the sum of its proper divisors (1).

338564242466833 is an equidigital number, since it uses as much as digits as its factorization.

338564242466833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1433272320, while the sum is 67.

The spelling of 338564242466833 in words is "three hundred thirty-eight trillion, five hundred sixty-four billion, two hundred forty-two million, four hundred sixty-six thousand, eight hundred thirty-three".