438461164834 has 64 divisors (see below), whose sum is σ = 823672903680. Its totient is φ = 170060469120.

The previous prime is 438461164783. The next prime is 438461164879.

438461164834 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77477497 + ... + 77483155.

It is an arithmetic number, because the mean of its divisors is an integer number (12869889120).

Almost surely, 2^438461164834 is an apocalyptic number.

438461164834 is a deficient number, since it is larger than the sum of its proper divisors (385211738846).

438461164834 is a wasteful number, since it uses less digits than its factorization.

438461164834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855.

The product of its digits is 5308416, while the sum is 52.

The spelling of 438461164834 in words is "four hundred thirty-eight billion, four hundred sixty-one million, one hundred sixty-four thousand, eight hundred thirty-four".