16938164416305 has 64 divisors (see below), whose sum is σ = 30587126169600. Its totient is φ = 7928515633920.

The previous prime is 16938164416253. The next prime is 16938164416331. The reversal of 16938164416305 is 50361446183961.

It is a happy number.

It is not a de Polignac number, because 16938164416305 - 2⁸ = 16938164416049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52891656 + ... + 53210934.

It is an arithmetic number, because the mean of its divisors is an integer number (477923846400).

Almost surely, 2^{16938164416305} is an apocalyptic number.

16938164416305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16938164416305 is a deficient number, since it is larger than the sum of its proper divisors (13648961753295).

16938164416305 is a wasteful number, since it uses less digits than its factorization.

16938164416305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330414.

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 16938164416305 in words is "sixteen trillion, nine hundred thirty-eight billion, one hundred sixty-four million, four hundred sixteen thousand, three hundred five".