319891483904 has 144 divisors (see below), whose sum is σ = 690054195600. Its totient is φ = 147460718592.

The previous prime is 319891483861. The next prime is 319891483927. The reversal of 319891483904 is 409384198913.

It can be written as a sum of positive squares in 8 ways, for example, as 22596102400 + 297295381504 = 150320^2 + 545248^2 .

It is a super-2 number, since 2×319891483904² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42214964 + ... + 42222540.

It is an arithmetic number, because the mean of its divisors is an integer number (4792043025).

Almost surely, 2^319891483904 is an apocalyptic number.

319891483904 is a gapful number since it is divisible by the number (34) 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 319891483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345027097800).

319891483904 is an abundant number, since it is smaller than the sum of its proper divisors (370162711696).

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

319891483904 is a wasteful number, since it uses less digits than its factorization.

319891483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 59.

The spelling of 319891483904 in words is "three hundred nineteen billion, eight hundred ninety-one million, four hundred eighty-three thousand, nine hundred four".