338404283137 has 2 divisors, whose sum is σ = 338404283138. Its totient is φ = 338404283136.

The previous prime is 338404283111. The next prime is 338404283179. The reversal of 338404283137 is 731382404833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253588787776 + 84815495361 = 503576^2 + 291231^2 .

It is an emirp because it is prime and its reverse (731382404833) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338404283137 is a prime.

It is a super-3 number, since 3×338404283137³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (338404283837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169202141568 + 169202141569.

It is an arithmetic number, because the mean of its divisors is an integer number (169202141569).

Almost surely, 2^338404283137 is an apocalyptic number.

It is an amenable number.

338404283137 is a deficient number, since it is larger than the sum of its proper divisors (1).

338404283137 is an equidigital number, since it uses as much as digits as its factorization.

338404283137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 338404283137 in words is "three hundred thirty-eight billion, four hundred four million, two hundred eighty-three thousand, one hundred thirty-seven".