319996801152 has 512 divisors, whose sum is σ = 1108143014400. Its totient is φ = 90134913024.

The previous prime is 319996801151. The next prime is 319996801169. The reversal of 319996801152 is 251108699913.

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

It is not an unprimeable number, because it can be changed into a prime (319996801151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143046178 + ... + 143048414.

It is an arithmetic number, because the mean of its divisors is an integer number (2164341825).

Almost surely, 2^319996801152 is an apocalyptic number.

319996801152 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 319996801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554071507200).

319996801152 is an abundant number, since it is smaller than the sum of its proper divisors (788146213248).

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

319996801152 is an frugal number, since it uses more digits than its factorization.

319996801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 319996801152 in words is "three hundred nineteen billion, nine hundred ninety-six million, eight hundred one thousand, one hundred fifty-two".