319145469517449 has 81 divisors (see below), whose sum is σ = 480580561138431. Its totient is φ = 204085681632000.

The previous prime is 319145469517429. The next prime is 319145469517463. The reversal of 319145469517449 is 944715964541913.

The square root of 319145469517449 is 17864643.

It is a perfect power (a square), and thus also a powerful number.

319145469517449 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 4 + 5 + 4 + 69 + 517 + 4 + 49 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 55853306879049 + 263292162638400 = 7473507^2 + 16226280^2 .

It is not a de Polignac number, because 319145469517449 - 2²⁹ = 319144932646537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (319145469517429) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 134038415239 + ... + 134038417619.

Almost surely, 2^{319145469517449} is an apocalyptic number.

319145469517449 is the 17864643-rd square number.

319145469517449 is the 8932322-nd centered octagonal number.

It is an amenable number.

319145469517449 is a deficient number, since it is larger than the sum of its proper divisors (161435091620982).

319145469517449 is an frugal number, since it uses more digits than its factorization.

319145469517449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 2486 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 319145469517449 in words is "three hundred nineteen trillion, one hundred forty-five billion, four hundred sixty-nine million, five hundred seventeen thousand, four hundred forty-nine".