16864968816 has 120 divisors (see below), whose sum is σ = 48568044720. Its totient is φ = 5459125248.

The previous prime is 16864968793. The next prime is 16864968871. The reversal of 16864968816 is 61886946861.

16864968816 is a `hidden beast` number, since 1 + 68 + 6 + 496 + 8 + 81 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028851 + ... + 3034413.

It is an arithmetic number, because the mean of its divisors is an integer number (404733706).

Almost surely, 2^16864968816 is an apocalyptic number.

16864968816 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 16864968816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284022360).

16864968816 is an abundant number, since it is smaller than the sum of its proper divisors (31703075904).

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

16864968816 is a wasteful number, since it uses less digits than its factorization.

16864968816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6174 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 16864968816 in words is "sixteen billion, eight hundred sixty-four million, nine hundred sixty-eight thousand, eight hundred sixteen".