319444131136768 has 144 divisors (see below), whose sum is σ = 726189012775296. Its totient is φ = 138824182661120.

The previous prime is 319444131136747. The next prime is 319444131136787. The reversal of 319444131136768 is 867631131444913.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 138300096 + ... + 140590912.

It is an arithmetic number, because the mean of its divisors is an integer number (5042979255384).

Almost surely, 2^{319444131136768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319444131136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363094506387648).

319444131136768 is an abundant number, since it is smaller than the sum of its proper divisors (406744881638528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

319444131136768 is a wasteful number, since it uses less digits than its factorization.

319444131136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293020 (or 2293006 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The spelling of 319444131136768 in words is "three hundred nineteen trillion, four hundred forty-four billion, one hundred thirty-one million, one hundred thirty-six thousand, seven hundred sixty-eight".