319483412871168 has 1152 divisors, whose sum is σ = 1090182511978560. Its totient is φ = 82445221232640.

The previous prime is 319483412871137. The next prime is 319483412871187. The reversal of 319483412871168 is 861178214384913.

It is a junction number, because it is equal to n+sod(n) for n = 319483412871099 and 319483412871108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47031265980 + ... + 47031272772.

Almost surely, 2^{319483412871168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319483412871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545091255989280).

319483412871168 is an abundant number, since it is smaller than the sum of its proper divisors (770699099107392).

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

319483412871168 is a wasteful number, since it uses less digits than its factorization.

319483412871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7076 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 66.

The spelling of 319483412871168 in words is "three hundred nineteen trillion, four hundred eighty-three billion, four hundred twelve million, eight hundred seventy-one thousand, one hundred sixty-eight".