338667766833 has 32 divisors (see below), whose sum is σ = 519599600640. Its totient is φ = 194050935360.

The previous prime is 338667766807. The next prime is 338667766841.

338667766833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338667766833 - 2⁶ = 338667766769 is a prime.

It is a super-2 number, since 2×338667766833² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338667767833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249210 + ... + 859907.

It is an arithmetic number, because the mean of its divisors is an integer number (16237487520).

Almost surely, 2^338667766833 is an apocalyptic number.

338667766833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338667766833 is a deficient number, since it is larger than the sum of its proper divisors (180931833807).

338667766833 is a wasteful number, since it uses less digits than its factorization.

338667766833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109637.

The product of its digits is 329204736, while the sum is 66.

The spelling of 338667766833 in words is "three hundred thirty-eight billion, six hundred sixty-seven million, seven hundred sixty-six thousand, eight hundred thirty-three".