338436634833 has 64 divisors (see below), whose sum is σ = 550834421760. Its totient is φ = 203668128000.

The previous prime is 338436634801. The next prime is 338436634843.

338436634833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338436634833 - 2⁵ = 338436634801 is a prime.

It is a super-2 number, since 2×338436634833² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338436634833.

It is not an unprimeable number, because it can be changed into a prime (338436634843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26552260 + ... + 26565002.

It is an arithmetic number, because the mean of its divisors is an integer number (8606787840).

Almost surely, 2^338436634833 is an apocalyptic number.

338436634833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338436634833 is a deficient number, since it is larger than the sum of its proper divisors (212397786927).

338436634833 is a wasteful number, since it uses less digits than its factorization.

338436634833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13387 (or 13381 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 338436634833 in words is "three hundred thirty-eight billion, four hundred thirty-six million, six hundred thirty-four thousand, eight hundred thirty-three".