319049194464 has 1008 divisors, whose sum is σ = 1272620087424. Its totient is φ = 76422528000.

The previous prime is 319049194463. The next prime is 319049194483. The reversal of 319049194464 is 464491940913.

319049194464 is a `hidden beast` number, since 3 + 1 + 9 + 0 + 4 + 91 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 319049194464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319049194463) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 303566739 + ... + 303567789.

It is an arithmetic number, because the mean of its divisors is an integer number (1262519928).

Almost surely, 2^319049194464 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 319049194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636310043712).

319049194464 is an abundant number, since it is smaller than the sum of its proper divisors (953570892960).

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

319049194464 is a wasteful number, since it uses less digits than its factorization.

319049194464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 319049194464 in words is "three hundred nineteen billion, forty-nine million, one hundred ninety-four thousand, four hundred sixty-four".