16893414816 has 96 divisors (see below), whose sum is σ = 45569018880. Its totient is φ = 5476848384.

The previous prime is 16893414799. The next prime is 16893414829. The reversal of 16893414816 is 61841439861.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 978031 + ... + 995153.

It is an arithmetic number, because the mean of its divisors is an integer number (474677280).

Almost surely, 2^16893414816 is an apocalyptic number.

16893414816 is a gapful number since it is divisible by the number (16) 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 16893414816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22784509440).

16893414816 is an abundant number, since it is smaller than the sum of its proper divisors (28675604064).

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

16893414816 is a wasteful number, since it uses less digits than its factorization.

16893414816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17418 (or 17410 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 16893414816 in words is "sixteen billion, eight hundred ninety-three million, four hundred fourteen thousand, eight hundred sixteen".