16346670912768 has 864 divisors, whose sum is σ = 55565330903040. Its totient is φ = 4237230735360.

The previous prime is 16346670912743. The next prime is 16346670912769. The reversal of 16346670912768 is 86721907664361.

It is a junction number, because it is equal to n+sod(n) for n = 16346670912699 and 16346670912708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16346670912769) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2150025255 + ... + 2150032857.

Almost surely, 2^{16346670912768} 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 16346670912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782665451520).

16346670912768 is an abundant number, since it is smaller than the sum of its proper divisors (39218659990272).

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

16346670912768 is a wasteful number, since it uses less digits than its factorization.

16346670912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 16346670912768 in words is "sixteen trillion, three hundred forty-six billion, six hundred seventy million, nine hundred twelve thousand, seven hundred sixty-eight".