338253352833 has 64 divisors (see below), whose sum is σ = 537369880320. Its totient is φ = 186906009600.

The previous prime is 338253352831. The next prime is 338253352841.

338253352833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338253352833 - 2¹ = 338253352831 is a prime.

It is a super-4 number, since 4×338253352833⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (338253352831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4717773 + ... + 4788933.

It is an arithmetic number, because the mean of its divisors is an integer number (8396404380).

Almost surely, 2^338253352833 is an apocalyptic number.

338253352833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338253352833 is a deficient number, since it is larger than the sum of its proper divisors (199116527487).

338253352833 is a wasteful number, since it uses less digits than its factorization.

338253352833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71458.

The product of its digits is 4665600, while the sum is 48.

The spelling of 338253352833 in words is "three hundred thirty-eight billion, two hundred fifty-three million, three hundred fifty-two thousand, eight hundred thirty-three".