338804408833 has 8 divisors (see below), whose sum is σ = 385674584256. Its totient is φ = 294612529200.

The previous prime is 338804408801. The next prime is 338804408843.

338804408833 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 338804408833 - 2⁵ = 338804408801 is a prime.

It is a super-2 number, since 2×338804408833² (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 (338804408843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669573678 + ... + 669574183.

It is an arithmetic number, because the mean of its divisors is an integer number (48209323032).

Almost surely, 2^338804408833 is an apocalyptic number.

It is an amenable number.

338804408833 is a deficient number, since it is larger than the sum of its proper divisors (46870175423).

338804408833 is a wasteful number, since it uses less digits than its factorization.

338804408833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339147895.

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 338804408833 in words is "three hundred thirty-eight billion, eight hundred four million, four hundred eight thousand, eight hundred thirty-three".