338251152833 has 24 divisors (see below), whose sum is σ = 386143390080. Its totient is φ = 295857188000.

The previous prime is 338251152817. The next prime is 338251152847.

338251152833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338251152833 - 2⁴ = 338251152817 is a prime.

It is a super-2 number, since 2×338251152833² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338251152233) 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, 168518 + ... + 839583.

It is an arithmetic number, because the mean of its divisors is an integer number (16089307920).

Almost surely, 2^338251152833 is an apocalyptic number.

It is an amenable number.

338251152833 is a deficient number, since it is larger than the sum of its proper divisors (47892237247).

338251152833 is a wasteful number, since it uses less digits than its factorization.

338251152833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008229 (or 1008218 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The spelling of 338251152833 in words is "three hundred thirty-eight billion, two hundred fifty-one million, one hundred fifty-two thousand, eight hundred thirty-three".