319346168064 has 648 divisors, whose sum is σ = 1138858243488. Its totient is φ = 78544650240.

The previous prime is 319346168059. The next prime is 319346168101. The reversal of 319346168064 is 460861643913.

It is a junction number, because it is equal to n+sod(n) for n = 319346167998 and 319346168016.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149435604 + ... + 149437740.

Almost surely, 2^319346168064 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 319346168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569429121744).

319346168064 is an abundant number, since it is smaller than the sum of its proper divisors (819512075424).

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

319346168064 is a wasteful number, since it uses less digits than its factorization.

319346168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 319346168064 in words is "three hundred nineteen billion, three hundred forty-six million, one hundred sixty-eight thousand, sixty-four".