16444316736 has 140 divisors (see below), whose sum is σ = 49935681180. Its totient is φ = 5347676160.

The previous prime is 16444316729. The next prime is 16444316771. The reversal of 16444316736 is 63761344461.

16444316736 is a `hidden beast` number, since 16 + 4 + 443 + 167 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 16057958400 = 19656^2 + 126720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16444316691 and 16444316700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173860 + ... + 251228.

It is an arithmetic number, because the mean of its divisors is an integer number (356683437).

Almost surely, 2^16444316736 is an apocalyptic number.

16444316736 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 16444316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967840590).

16444316736 is an abundant number, since it is smaller than the sum of its proper divisors (33491364444).

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

16444316736 is an equidigital number, since it uses as much as digits as its factorization.

16444316736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77434 (or 77415 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

Subtracting from 16444316736 its product of digits (870912), we obtain a square (16443445824 = 128232²).

The spelling of 16444316736 in words is "sixteen billion, four hundred forty-four million, three hundred sixteen thousand, seven hundred thirty-six".