319424732172 has 480 divisors, whose sum is σ = 1054465724928. Its totient is φ = 82081714176.

The previous prime is 319424732147. The next prime is 319424732203. The reversal of 319424732172 is 271237424913.

319424732172 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 2 + 473 + 2 + 172 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191615683 + ... + 191617349.

Almost surely, 2^319424732172 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 319424732172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527232862464).

319424732172 is an abundant number, since it is smaller than the sum of its proper divisors (735040992756).

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

319424732172 is a wasteful number, since it uses less digits than its factorization.

319424732172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1856 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 319424732172 in words is "three hundred nineteen billion, four hundred twenty-four million, seven hundred thirty-two thousand, one hundred seventy-two".