9045531664 has 135 divisors (see below), whose sum is σ = 19947476349. Its totient is φ = 3971710080.

The previous prime is 9045531659. The next prime is 9045531709. The reversal of 9045531664 is 4661355409.

The square root of 9045531664 is 95108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1338096400 + 7707435264 = 36580^2 + 87792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9045531664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153314067 + ... + 153314125.

Almost surely, 2^9045531664 is an apocalyptic number.

9045531664 is the 95108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045531664

9045531664 is an abundant number, since it is smaller than the sum of its proper divisors (10901944685).

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

9045531664 is a wasteful number, since it uses less digits than its factorization.

9045531664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The cubic root of 9045531664 is about 2083.5856901146.

The spelling of 9045531664 in words is "nine billion, forty-five million, five hundred thirty-one thousand, six hundred sixty-four".