319899743856 has 1440 divisors, whose sum is σ = 1259070525440. Its totient is φ = 73903104000.

The previous prime is 319899743843. The next prime is 319899743893. The reversal of 319899743856 is 658347998913.

319899743856 is a `hidden beast` number, since 3 + 1 + 98 + 99 + 74 + 385 + 6 = 666.

It is a super-2 number, since 2×319899743856² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4382188236 + ... + 4382188308.

Almost surely, 2^319899743856 is an apocalyptic number.

319899743856 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 319899743856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629535262720).

319899743856 is an abundant number, since it is smaller than the sum of its proper divisors (939170781584).

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

319899743856 is a wasteful number, since it uses less digits than its factorization.

319899743856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 319899743856 in words is "three hundred nineteen billion, eight hundred ninety-nine million, seven hundred forty-three thousand, eight hundred fifty-six".