2016809017344 has 448 divisors, whose sum is σ = 6539569344000. Its totient is φ = 609187921920.

The previous prime is 2016809017337. The next prime is 2016809017393. The reversal of 2016809017344 is 4437109086102.

2016809017344 is a `hidden beast` number, since 201 + 6 + 8 + 0 + 90 + 17 + 344 = 666.

It is a super-2 number, since 2×2016809017344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2016809017344.

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 31 ways as a sum of consecutive naturals, for example, 873454462 + ... + 873456770.

It is an arithmetic number, because the mean of its divisors is an integer number (14597253000).

Almost surely, 2^{2016809017344} is an apocalyptic number.

2016809017344 is a gapful number since it is divisible by the number (24) 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 2016809017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269784672000).

2016809017344 is an abundant number, since it is smaller than the sum of its proper divisors (4522760326656).

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

2016809017344 is a wasteful number, since it uses less digits than its factorization.

2016809017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2016809017344 in words is "two trillion, sixteen billion, eight hundred nine million, seventeen thousand, three hundred forty-four".