338042476417259 has 2 divisors, whose sum is σ = 338042476417260. Its totient is φ = 338042476417258.

The previous prime is 338042476417103. The next prime is 338042476417339. The reversal of 338042476417259 is 952714674240833.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338042476417259 is a prime.

It is a super-2 number, since 2×338042476417259² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 338042476417195 and 338042476417204.

It is not a weakly prime, because it can be changed into another prime (338042476419259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169021238208629 + 169021238208630.

It is an arithmetic number, because the mean of its divisors is an integer number (169021238208630).

It is a 2-persistent number, because it is pandigital, and so is 2⋅338042476417259 = 676084952834518, but 3⋅338042476417259 = 1014127429251777 is not.

Almost surely, 2^{338042476417259} is an apocalyptic number.

338042476417259 is a deficient number, since it is larger than the sum of its proper divisors (1).

338042476417259 is an equidigital number, since it uses as much as digits as its factorization.

338042476417259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243855360, while the sum is 65.

The spelling of 338042476417259 in words is "three hundred thirty-eight trillion, forty-two billion, four hundred seventy-six million, four hundred seventeen thousand, two hundred fifty-nine".