319342530816 has 243 divisors, whose sum is σ = 940960150767. Its totient is φ = 104159969280.

The previous prime is 319342530739. The next prime is 319342530817. The reversal of 319342530816 is 618035243913.

The square root of 319342530816 is 565104.

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

319342530816 is a `hidden beast` number, since 3 + 1 + 9 + 34 + 2 + 530 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 188078342400 + 131264188416 = 433680^2 + 362304^2 .

It is not an unprimeable number, because it can be changed into a prime (319342530817) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1654624416 + ... + 1654624608.

Almost surely, 2^319342530816 is an apocalyptic number.

319342530816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

319342530816 is the 565104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319342530816

319342530816 is an abundant number, since it is smaller than the sum of its proper divisors (621617619951).

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

319342530816 is an frugal number, since it uses more digits than its factorization.

319342530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 319342530816 in words is "three hundred nineteen billion, three hundred forty-two million, five hundred thirty thousand, eight hundred sixteen".