338468848864833 has 8 divisors (see below), whose sum is σ = 451293097785568. Its totient is φ = 225645249593664.

The previous prime is 338468848864787. The next prime is 338468848864877.

338468848864833 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338468848864833 - 2¹⁰ = 338468848863809 is a prime.

It is a super-2 number, since 2×338468848864833² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338468848864033) 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 7 ways as a sum of consecutive naturals, for example, 161195416 + ... + 163281657.

It is an arithmetic number, because the mean of its divisors is an integer number (56411637223196).

Almost surely, 2^{338468848864833} is an apocalyptic number.

It is an amenable number.

338468848864833 is a deficient number, since it is larger than the sum of its proper divisors (112824248920735).

338468848864833 is a wasteful number, since it uses less digits than its factorization.

338468848864833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324824783.

The product of its digits is 48922361856, while the sum is 84.

The spelling of 338468848864833 in words is "three hundred thirty-eight trillion, four hundred sixty-eight billion, eight hundred forty-eight million, eight hundred sixty-four thousand, eight hundred thirty-three".