9045435564 has 360 divisors, whose sum is σ = 28259985600. Its totient is φ = 2494929600.

The previous prime is 9045435557. The next prime is 9045435577. The reversal of 9045435564 is 4655345409.

9045435564 is a `hidden beast` number, since 9 + 0 + 4 + 54 + 35 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65075007 + ... + 65075145.

It is an arithmetic number, because the mean of its divisors is an integer number (78499960).

Almost surely, 2^9045435564 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 9045435564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129992800).

9045435564 is an abundant number, since it is smaller than the sum of its proper divisors (19214550036).

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

9045435564 is a wasteful number, since it uses less digits than its factorization.

9045435564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 9045435564 is about 95107.4947835343. The cubic root of 9045435564 is about 2083.5783113961.

The spelling of 9045435564 in words is "nine billion, forty-five million, four hundred thirty-five thousand, five hundred sixty-four".