338496694833 has 32 divisors (see below), whose sum is σ = 493134187392. Its totient is φ = 204826752000.

The previous prime is 338496694819. The next prime is 338496694849.

338496694833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338496694833 - 2⁶ = 338496694769 is a prime.

It is a super-2 number, since 2×338496694833² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338496694813) 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 in 31 ways as a sum of consecutive naturals, for example, 72683241 + ... + 72687897.

It is an arithmetic number, because the mean of its divisors is an integer number (15410443356).

Almost surely, 2^338496694833 is an apocalyptic number.

338496694833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338496694833 is a deficient number, since it is larger than the sum of its proper divisors (154637492559).

338496694833 is a wasteful number, since it uses less digits than its factorization.

338496694833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665.

The product of its digits is 241864704, while the sum is 66.

The spelling of 338496694833 in words is "three hundred thirty-eight billion, four hundred ninety-six million, six hundred ninety-four thousand, eight hundred thirty-three".