338120021833 has 16 divisors (see below), whose sum is σ = 395905841856. Its totient is φ = 285337520640.

The previous prime is 338120021821. The next prime is 338120021851.

338120021833 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 338120021833 - 2¹⁷ = 338119890761 is a prime.

It is a super-2 number, since 2×338120021833² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338120021873) 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 15 ways as a sum of consecutive naturals, for example, 12370791 + ... + 12398092.

It is an arithmetic number, because the mean of its divisors is an integer number (24744115116).

Almost surely, 2^338120021833 is an apocalyptic number.

It is an amenable number.

338120021833 is a deficient number, since it is larger than the sum of its proper divisors (57785820023).

338120021833 is a wasteful number, since it uses less digits than its factorization.

338120021833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24768984.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 338120021833 in words is "three hundred thirty-eight billion, one hundred twenty million, twenty-one thousand, eight hundred thirty-three".