338745222547833 has 8 divisors (see below), whose sum is σ = 456132180856896. Its totient is φ = 223594206302000.

The previous prime is 338745222547793. The next prime is 338745222547847.

It is a happy number.

338745222547833 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 338745222547833 - 2²⁰ = 338745221499257 is a prime.

It is a super-2 number, since 2×338745222547833² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338745222546833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558985515453 + ... + 558985516058.

It is an arithmetic number, because the mean of its divisors is an integer number (57016522607112).

Almost surely, 2^{338745222547833} is an apocalyptic number.

It is an amenable number.

338745222547833 is a deficient number, since it is larger than the sum of its proper divisors (117386958309063).

338745222547833 is a wasteful number, since it uses less digits than its factorization.

338745222547833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117971031615.

The product of its digits is 812851200, while the sum is 66.

The spelling of 338745222547833 in words is "three hundred thirty-eight trillion, seven hundred forty-five billion, two hundred twenty-two million, five hundred forty-seven thousand, eight hundred thirty-three".