338314394112029 has 2 divisors, whose sum is σ = 338314394112030. Its totient is φ = 338314394112028.

The previous prime is 338314394111999. The next prime is 338314394112049. The reversal of 338314394112029 is 920211493413833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334597190832004 + 3717203280025 = 18291998^2 + 1928005^2 .

It is a cyclic number.

It is not a de Polignac number, because 338314394112029 - 2¹² = 338314394107933 is a prime.

It is a super-2 number, since 2×338314394112029² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338314394112049) 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, 169157197056014 + 169157197056015.

It is an arithmetic number, because the mean of its divisors is an integer number (169157197056015).

Almost surely, 2^{338314394112029} is an apocalyptic number.

It is an amenable number.

338314394112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

338314394112029 is an equidigital number, since it uses as much as digits as its factorization.

338314394112029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 338314394112029 in words is "three hundred thirty-eight trillion, three hundred fourteen billion, three hundred ninety-four million, one hundred twelve thousand, twenty-nine".