338647202746833 has 8 divisors (see below), whose sum is σ = 458931728312896. Its totient is φ = 222063739506000.

The previous prime is 338647202746819. The next prime is 338647202746837.

338647202746833 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 338647202746833 - 2³⁸ = 338372324839889 is a prime.

It is a super-2 number, since 2×338647202746833² (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 (338647202746837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925265581093 + ... + 925265581458.

It is an arithmetic number, because the mean of its divisors is an integer number (57366466039112).

Almost surely, 2^{338647202746833} is an apocalyptic number.

It is an amenable number.

338647202746833 is a deficient number, since it is larger than the sum of its proper divisors (120284525566063).

338647202746833 is a wasteful number, since it uses less digits than its factorization.

338647202746833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850531162615.

The product of its (nonzero) digits is 585252864, while the sum is 66.

The spelling of 338647202746833 in words is "three hundred thirty-eight trillion, six hundred forty-seven billion, two hundred two million, seven hundred forty-six thousand, eight hundred thirty-three".