319649918328 has 640 divisors, whose sum is σ = 1093613875200. Its totient is φ = 86220288000.

The previous prime is 319649918293. The next prime is 319649918363. The reversal of 319649918328 is 823819946913.

319649918328 is a `hidden beast` number, since 31 + 96 + 499 + 1 + 8 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (319649918293) and next prime (319649918363).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114118528 + ... + 114121328.

It is an arithmetic number, because the mean of its divisors is an integer number (1708771680).

Almost surely, 2^319649918328 is an apocalyptic number.

319649918328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319649918328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546806937600).

319649918328 is an abundant number, since it is smaller than the sum of its proper divisors (773963956872).

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

319649918328 is a wasteful number, since it uses less digits than its factorization.

319649918328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2892 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 319649918328 in words is "three hundred nineteen billion, six hundred forty-nine million, nine hundred eighteen thousand, three hundred twenty-eight".