319441482144 has 36 divisors (see below), whose sum is σ = 908411715666. Its totient is φ = 106480493952.

The previous prime is 319441482133. The next prime is 319441482169. The reversal of 319441482144 is 441284144913.

319441482144 is a `hidden beast` number, since 3 + 1 + 94 + 41 + 482 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 294914163600 + 24527318544 = 543060^2 + 156612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 319441482144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 554585619 + ... + 554586194.

Almost surely, 2^319441482144 is an apocalyptic number.

It is an amenable number.

319441482144 is an abundant number, since it is smaller than the sum of its proper divisors (588970233522).

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

319441482144 is a wasteful number, since it uses less digits than its factorization.

319441482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109171829 (or 1109171818 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 319441482144 in words is "three hundred nineteen billion, four hundred forty-one million, four hundred eighty-two thousand, one hundred forty-four".