9045965664 has 144 divisors (see below), whose sum is σ = 27952404480. Its totient is φ = 2764419840.

The previous prime is 9045965611. The next prime is 9045965713. The reversal of 9045965664 is 4665695409.

9045965664 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 (144).

It is a self number, because there is not a number n which added to its sum of digits gives 9045965664.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 142969 + ... + 196295.

It is an arithmetic number, because the mean of its divisors is an integer number (194113920).

Almost surely, 2^9045965664 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 9045965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976202240).

9045965664 is an abundant number, since it is smaller than the sum of its proper divisors (18906438816).

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

9045965664 is a wasteful number, since it uses less digits than its factorization.

9045965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53393 (or 53382 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 9045965664 is about 95110.2815893214. The cubic root of 9045965664 is about 2083.6190127082.

The spelling of 9045965664 in words is "nine billion, forty-five million, nine hundred sixty-five thousand, six hundred sixty-four".