9045520128 has 180 divisors, whose sum is σ = 27133916040. Its totient is φ = 2997098496.

The previous prime is 9045520117. The next prime is 9045520151. The reversal of 9045520128 is 8210255409.

9045520128 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 520 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9045520092 and 9045520101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3710526 + ... + 3712962.

It is an arithmetic number, because the mean of its divisors is an integer number (150743978).

Almost surely, 2^9045520128 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 9045520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566958020).

9045520128 is an abundant number, since it is smaller than the sum of its proper divisors (18088395912).

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

9045520128 is a wasteful number, since it uses less digits than its factorization.

9045520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9045520128 is about 95107.9393531371. The cubic root of 9045520128 is about 2083.5848043640.

The spelling of 9045520128 in words is "nine billion, forty-five million, five hundred twenty thousand, one hundred twenty-eight".