338145541833 has 16 divisors (see below), whose sum is σ = 492023667456. Its totient is φ = 204863522640.

The previous prime is 338145541831. The next prime is 338145541847.

338145541833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338145541833 - 2¹ = 338145541831 is a prime.

It is a super-2 number, since 2×338145541833² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338145541831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735335 + ... + 1920332.

It is an arithmetic number, because the mean of its divisors is an integer number (30751479216).

Almost surely, 2^338145541833 is an apocalyptic number.

338145541833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338145541833 is a deficient number, since it is larger than the sum of its proper divisors (153878125623).

338145541833 is a wasteful number, since it uses less digits than its factorization.

338145541833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658484.

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 338145 and 541833, that added together give a palindrome (879978).

The spelling of 338145541833 in words is "three hundred thirty-eight billion, one hundred forty-five million, five hundred forty-one thousand, eight hundred thirty-three".