319499920164096 has 1008 divisors, whose sum is σ = 1126337749482624. Its totient is φ = 88500875083776.

The previous prime is 319499920164091. The next prime is 319499920164137. The reversal of 319499920164096 is 690461029994913.

319499920164096 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 9 + 9 + 9 + 201 + 6 + 409 + 6 = 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319499920164091) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13678967650 + ... + 13678991006.

Almost surely, 2^{319499920164096} is an apocalyptic number.

319499920164096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319499920164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563168874741312).

319499920164096 is an abundant number, since it is smaller than the sum of its proper divisors (806837829318528).

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

319499920164096 is an equidigital number, since it uses as much as digits as its factorization.

319499920164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23718 (or 23689 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 319499920164096 in words is "three hundred nineteen trillion, four hundred ninety-nine billion, nine hundred twenty million, one hundred sixty-four thousand, ninety-six".