319112881152912 has 480 divisors, whose sum is σ = 1158302796257280. Its totient is φ = 81719004729600.

The previous prime is 319112881152887. The next prime is 319112881152913. The reversal of 319112881152912 is 219251188211913.

319112881152912 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 1 + 28 + 81 + 1 + 529 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (319112881152913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166732293 + ... + 168635355.

It is an arithmetic number, because the mean of its divisors is an integer number (2413130825536).

Almost surely, 2^{319112881152912} 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 319112881152912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579151398128640).

319112881152912 is an abundant number, since it is smaller than the sum of its proper divisors (839189915104368).

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

319112881152912 is a wasteful number, since it uses less digits than its factorization.

319112881152912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903240 (or 1903157 counting only the distinct ones).

The product of its digits is 622080, while the sum is 54.

The spelling of 319112881152912 in words is "three hundred nineteen trillion, one hundred twelve billion, eight hundred eighty-one million, one hundred fifty-two thousand, nine hundred twelve".