16791349499664 has 320 divisors, whose sum is σ = 45715634012160. Its totient is φ = 5306152550400.

The previous prime is 16791349499641. The next prime is 16791349499671. The reversal of 16791349499664 is 46699494319761.

It is a super-2 number, since 2×16791349499664² (a number of 27 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 16791349499664.

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 63 ways as a sum of consecutive naturals, for example, 3015143472 + ... + 3015149040.

It is an arithmetic number, because the mean of its divisors is an integer number (142861356288).

Almost surely, 2^{16791349499664} 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 16791349499664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22857817006080).

16791349499664 is an abundant number, since it is smaller than the sum of its proper divisors (28924284512496).

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

16791349499664 is a wasteful number, since it uses less digits than its factorization.

16791349499664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5992 counting only the distinct ones).

The product of its digits is 1904684544, while the sum is 78.

The spelling of 16791349499664 in words is "sixteen trillion, seven hundred ninety-one billion, three hundred forty-nine million, four hundred ninety-nine thousand, six hundred sixty-four".