338359101953833 has 2 divisors, whose sum is σ = 338359101953834. Its totient is φ = 338359101953832.

The previous prime is 338359101953749. The next prime is 338359101953861.

338359101953833 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324538351442704 + 13820750511129 = 18014948^2 + 3717627^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338359101953833 is a prime.

It is a super-2 number, since 2×338359101953833² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338359101953233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169179550976916 + 169179550976917.

It is an arithmetic number, because the mean of its divisors is an integer number (169179550976917).

Almost surely, 2^{338359101953833} is an apocalyptic number.

It is an amenable number.

338359101953833 is a deficient number, since it is larger than the sum of its proper divisors (1).

338359101953833 is an equidigital number, since it uses as much as digits as its factorization.

338359101953833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94478400, while the sum is 64.

The spelling of 338359101953833 in words is "three hundred thirty-eight trillion, three hundred fifty-nine billion, one hundred one million, nine hundred fifty-three thousand, eight hundred thirty-three".