16443108864 has 400 divisors, whose sum is σ = 60417987168. Its totient is φ = 4335648768.

The previous prime is 16443108863. The next prime is 16443108887. The reversal of 16443108864 is 46880134461.

It is a super-3 number, since 3×16443108864³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16443108863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3771774 + ... + 3776130.

Almost surely, 2^16443108864 is an apocalyptic number.

16443108864 is a gapful number since it is divisible by the number (14) 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 16443108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30208993584).

16443108864 is an abundant number, since it is smaller than the sum of its proper divisors (43974878304).

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

16443108864 is an equidigital number, since it uses as much as digits as its factorization.

16443108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 16443108864 in words is "sixteen billion, four hundred forty-three million, one hundred eight thousand, eight hundred sixty-four".