338624426833 has 16 divisors (see below), whose sum is σ = 431163684864. Its totient is φ = 258249076560.

The previous prime is 338624426809. The next prime is 338624426839.

338624426833 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 338624426833 - 2¹⁷ = 338624295761 is a prime.

It is a super-2 number, since 2×338624426833² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338624426839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46780635 + ... + 46787872.

It is an arithmetic number, because the mean of its divisors is an integer number (26947730304).

Almost surely, 2^338624426833 is an apocalyptic number.

It is an amenable number.

338624426833 is a deficient number, since it is larger than the sum of its proper divisors (92539258031).

338624426833 is a wasteful number, since it uses less digits than its factorization.

338624426833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93568572.

The product of its digits is 11943936, while the sum is 52.

The spelling of 338624426833 in words is "three hundred thirty-eight billion, six hundred twenty-four million, four hundred twenty-six thousand, eight hundred thirty-three".