9045504000 has 624 divisors, whose sum is σ = 35348948544. Its totient is φ = 2211840000.

The previous prime is 9045503959. The next prime is 9045504023. The reversal of 9045504000 is 4055409.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×9045504000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59903925 + ... + 59904075.

It is an arithmetic number, because the mean of its divisors is an integer number (56648956).

Almost surely, 2^9045504000 is an apocalyptic number.

9045504000 is a gapful number since it is divisible by the number (90) 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 9045504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674474272).

9045504000 is an abundant number, since it is smaller than the sum of its proper divisors (26303444544).

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

9045504000 is a wasteful number, since it uses less digits than its factorization.

9045504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 9045504000 is about 95107.8545652251. The cubic root of 9045504000 is about 2083.5835660318.

Adding to 9045504000 its reverse (4055409), we get a palindrome (9049559409).

The spelling of 9045504000 in words is "nine billion, forty-five million, five hundred four thousand".