319568134314 has 384 divisors, whose sum is σ = 805148467200. Its totient is φ = 83700864000.

The previous prime is 319568134313. The next prime is 319568134351. The reversal of 319568134314 is 413431865913.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (319568134313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2299051257 + ... + 2299051395.

It is an arithmetic number, because the mean of its divisors is an integer number (2096740800).

Almost surely, 2^319568134314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319568134314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402574233600).

319568134314 is an abundant number, since it is smaller than the sum of its proper divisors (485580332886).

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

319568134314 is a wasteful number, since it uses less digits than its factorization.

319568134314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 319568134314 in words is "three hundred nineteen billion, five hundred sixty-eight million, one hundred thirty-four thousand, three hundred fourteen".