338666323666833 has 24 divisors (see below), whose sum is σ = 491091595987200. Its totient is φ = 224897450932224.

The previous prime is 338666323666831. The next prime is 338666323666871.

338666323666833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338666323666833 - 2¹ = 338666323666831 is a prime.

It is a super-2 number, since 2×338666323666833² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338666323666831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391943448 + ... + 392806566.

It is an arithmetic number, because the mean of its divisors is an integer number (20462149832800).

Almost surely, 2^{338666323666833} is an apocalyptic number.

It is an amenable number.

338666323666833 is a deficient number, since it is larger than the sum of its proper divisors (152425272320367).

338666323666833 is a wasteful number, since it uses less digits than its factorization.

338666323666833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033021 (or 1033018 counting only the distinct ones).

The product of its digits is 4353564672, while the sum is 72.

The spelling of 338666323666833 in words is "three hundred thirty-eight trillion, six hundred sixty-six billion, three hundred twenty-three million, six hundred sixty-six thousand, eight hundred thirty-three".