16855144307568 has 480 divisors, whose sum is σ = 57251247685632. Its totient is φ = 4700083449600.

The previous prime is 16855144307513. The next prime is 16855144307627. The reversal of 16855144307568 is 86570344155861.

It is a happy number.

16855144307568 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 514 + 43 + 0 + 75 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1721488753 + ... + 1721498543.

Almost surely, 2^{16855144307568} is an apocalyptic number.

16855144307568 is a gapful number since it is divisible by the number (18) 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 16855144307568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625623842816).

16855144307568 is an abundant number, since it is smaller than the sum of its proper divisors (40396103378064).

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

16855144307568 is a wasteful number, since it uses less digits than its factorization.

16855144307568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 16855144307568 in words is "sixteen trillion, eight hundred fifty-five billion, one hundred forty-four million, three hundred seven thousand, five hundred sixty-eight".