319911278449 has 63 divisors (see below), whose sum is σ = 400605005793. Its totient is φ = 255419071488.

The previous prime is 319911278447. The next prime is 319911278497. The reversal of 319911278449 is 944872119913.

It is a happy number.

The square root of 319911278449 is 565607.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18729838449 + 301181440000 = 136857^2 + 548800^2 .

It is not a de Polignac number, because 319911278449 - 2¹ = 319911278447 is a prime.

It is a super-2 number, since 2×319911278449² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 319911278393 and 319911278402.

It is not an unprimeable number, because it can be changed into a prime (319911278447) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3298054369 + ... + 3298054465.

Almost surely, 2^319911278449 is an apocalyptic number.

319911278449 is the 565607-th square number.

319911278449 is the 282804-th centered octagonal number.

It is an amenable number.

319911278449 is a deficient number, since it is larger than the sum of its proper divisors (80693727344).

319911278449 is an frugal number, since it uses more digits than its factorization.

319911278449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 121 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 58.

The spelling of 319911278449 in words is "three hundred nineteen billion, nine hundred eleven million, two hundred seventy-eight thousand, four hundred forty-nine".