319864121427456 has 160 divisors (see below), whose sum is σ = 946972464213600. Its totient is φ = 106604206202880.

The previous prime is 319864121427377. The next prime is 319864121427481. The reversal of 319864121427456 is 654724121468913.

319864121427456 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 6 + 412 + 142 + 74 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 319864121427393 and 319864121427402.

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 15 ways as a sum of consecutive naturals, for example, 84139410 + ... + 87858798.

It is an arithmetic number, because the mean of its divisors is an integer number (5918577901335).

Almost surely, 2^{319864121427456} is an apocalyptic number.

319864121427456 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 319864121427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473486232106800).

319864121427456 is an abundant number, since it is smaller than the sum of its proper divisors (627108342786144).

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

319864121427456 is an equidigital number, since it uses as much as digits as its factorization.

319864121427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725637 (or 3725615 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 319864121427456 in words is "three hundred nineteen trillion, eight hundred sixty-four billion, one hundred twenty-one million, four hundred twenty-seven thousand, four hundred fifty-six".