9045581688 has 288 divisors, whose sum is σ = 30023360640. Its totient is φ = 2529221760.

The previous prime is 9045581659. The next prime is 9045581711. The reversal of 9045581688 is 8861855409.

It is a happy number.

9045581688 is a `hidden beast` number, since 9 + 0 + 4 + 558 + 1 + 6 + 88 = 666.

9045581688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 3612645 + ... + 3615147.

It is an arithmetic number, because the mean of its divisors is an integer number (104247780).

Almost surely, 2^9045581688 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 9045581688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011680320).

9045581688 is an abundant number, since it is smaller than the sum of its proper divisors (20977778952).

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

9045581688 is a wasteful number, since it uses less digits than its factorization.

9045581688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 9045581688 is about 95108.2629848742. The cubic root of 9045581688 is about 2083.5895310201.

The spelling of 9045581688 in words is "nine billion, forty-five million, five hundred eighty-one thousand, six hundred eighty-eight".