338465564833 has 12 divisors (see below), whose sum is σ = 373795612624. Its totient is φ = 306237670200.

The previous prime is 338465564821. The next prime is 338465564861.

338465564833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338465564833 - 2²¹ = 338463467681 is a prime.

It is a super-2 number, since 2×338465564833² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338465564873) 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 in 11 ways as a sum of consecutive naturals, for example, 6602991 + ... + 6654052.

Almost surely, 2^338465564833 is an apocalyptic number.

It is an amenable number.

338465564833 is a deficient number, since it is larger than the sum of its proper divisors (35330047791).

338465564833 is a wasteful number, since it uses less digits than its factorization.

338465564833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257276 (or 13257265 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 58.

The spelling of 338465564833 in words is "three hundred thirty-eight billion, four hundred sixty-five million, five hundred sixty-four thousand, eight hundred thirty-three".