319068102144 has 480 divisors, whose sum is σ = 978057400320. Its totient is φ = 92252160000.

The previous prime is 319068102137. The next prime is 319068102151. The reversal of 319068102144 is 441201860913.

It is an interprime number because it is at equal distance from previous prime (319068102137) and next prime (319068102151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455160994 + ... + 455161694.

It is an arithmetic number, because the mean of its divisors is an integer number (2037619584).

Almost surely, 2^319068102144 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 319068102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489028700160).

319068102144 is an abundant number, since it is smaller than the sum of its proper divisors (658989298176).

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

319068102144 is a wasteful number, since it uses less digits than its factorization.

319068102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 319068102144 in words is "three hundred nineteen billion, sixty-eight million, one hundred two thousand, one hundred forty-four".