338564242465833 has 64 divisors (see below), whose sum is σ = 469414795288320. Its totient is φ = 216875957760000.

The previous prime is 338564242465811. The next prime is 338564242465859.

338564242465833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338564242465833 - 2⁹ = 338564242465321 is a prime.

It is a super-2 number, since 2×338564242465833² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338564242466833) 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, 7606966366 + ... + 7607010872.

It is an arithmetic number, because the mean of its divisors is an integer number (7334606176380).

Almost surely, 2^{338564242465833} is an apocalyptic number.

It is an amenable number.

338564242465833 is a deficient number, since it is larger than the sum of its proper divisors (130850552822487).

338564242465833 is a wasteful number, since it uses less digits than its factorization.

338564242465833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46378.

The product of its digits is 1194393600, while the sum is 66.

The spelling of 338564242465833 in words is "three hundred thirty-eight trillion, five hundred sixty-four billion, two hundred forty-two million, four hundred sixty-five thousand, eight hundred thirty-three".