16814194464 has 96 divisors (see below), whose sum is σ = 45571147776. Its totient is φ = 5424814080.

The previous prime is 16814194427. The next prime is 16814194489. The reversal of 16814194464 is 46449141861.

16814194464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 483054 + ... + 516690.

It is an arithmetic number, because the mean of its divisors is an integer number (474699456).

Almost surely, 2^16814194464 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 16814194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785573888).

16814194464 is an abundant number, since it is smaller than the sum of its proper divisors (28756953312).

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

16814194464 is a wasteful number, since it uses less digits than its factorization.

16814194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33818 (or 33810 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 16814194464 in words is "sixteen billion, eight hundred fourteen million, one hundred ninety-four thousand, four hundred sixty-four".