9444216672 has 216 divisors, whose sum is σ = 29691036648. Its totient is φ = 2824012800.

The previous prime is 9444216653. The next prime is 9444216679. The reversal of 9444216672 is 2766124449.

9444216672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9444216679) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 33609172 + ... + 33609452.

It is an arithmetic number, because the mean of its divisors is an integer number (137458503).

Almost surely, 2^9444216672 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 9444216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845518324).

9444216672 is an abundant number, since it is smaller than the sum of its proper divisors (20246819976).

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

9444216672 is a wasteful number, since it uses less digits than its factorization.

9444216672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 400 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 9444216672 is about 97181.3596941306. The cubic root of 9444216672 is about 2113.7582422946.

The spelling of 9444216672 in words is "nine billion, four hundred forty-four million, two hundred sixteen thousand, six hundred seventy-two".