319668166272 has 384 divisors, whose sum is σ = 1066710859200. Its totient is φ = 84072038400.

The previous prime is 319668166271. The next prime is 319668166273. The reversal of 319668166272 is 272661866913.

It is an interprime number because it is at equal distance from previous prime (319668166271) and next prime (319668166273).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (319668166271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98086179 + ... + 98089437.

Almost surely, 2^319668166272 is an apocalyptic number.

319668166272 is a gapful number since it is divisible by the number (32) 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 319668166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533355429600).

319668166272 is an abundant number, since it is smaller than the sum of its proper divisors (747042692928).

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

319668166272 is a wasteful number, since it uses less digits than its factorization.

319668166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3685 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 319668166272 in words is "three hundred nineteen billion, six hundred sixty-eight million, one hundred sixty-six thousand, two hundred seventy-two".