16891322820864 has 288 divisors, whose sum is σ = 46998842526720. Its totient is φ = 5378815819776.

The previous prime is 16891322820863. The next prime is 16891322820877. The reversal of 16891322820864 is 46802822319861.

It is a junction number, because it is equal to n+sod(n) for n = 16891322820798 and 16891322820807.

It is not an unprimeable number, because it can be changed into a prime (16891322820863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527653224 + ... + 1527664280.

It is an arithmetic number, because the mean of its divisors is an integer number (163190425440).

Almost surely, 2^{16891322820864} 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 16891322820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23499421263360).

16891322820864 is an abundant number, since it is smaller than the sum of its proper divisors (30107519705856).

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

16891322820864 is a wasteful number, since it uses less digits than its factorization.

16891322820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 16891322820864 in words is "sixteen trillion, eight hundred ninety-one billion, three hundred twenty-two million, eight hundred twenty thousand, eight hundred sixty-four".