319854000000 has 224 divisors, whose sum is σ = 1062021562200. Its totient is φ = 85292800000.

The previous prime is 319853999989. The next prime is 319854000013. The reversal of 319854000000 is 458913.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5973346 + ... + 6026654.

Almost surely, 2^319854000000 is an apocalyptic number.

319854000000 is a gapful number since it is divisible by the number (30) 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 319854000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531010781100).

319854000000 is an abundant number, since it is smaller than the sum of its proper divisors (742167562200).

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

319854000000 is an frugal number, since it uses more digits than its factorization.

319854000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53356 (or 53319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 319854000000 its reverse (458913), we get a palindrome (319854458913).

The spelling of 319854000000 in words is "three hundred nineteen billion, eight hundred fifty-four million", and thus it is an aban number.