9085344000 has 576 divisors, whose sum is σ = 33748565760. Its totient is φ = 2152857600.

The previous prime is 9085343989. The next prime is 9085344049. The reversal of 9085344000 is 4435809.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31007854 + ... + 31008146.

It is an arithmetic number, because the mean of its divisors is an integer number (58591260).

Almost surely, 2^9085344000 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 9085344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874282880).

9085344000 is an abundant number, since it is smaller than the sum of its proper divisors (24663221760).

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

9085344000 is a wasteful number, since it uses less digits than its factorization.

9085344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 9085344000 is about 95317.0708740045. The cubic root of 9085344000 is about 2086.6380631223.

Adding to 9085344000 its reverse (4435809), we get a palindrome (9089779809).

The spelling of 9085344000 in words is "nine billion, eighty-five million, three hundred forty-four thousand".