9013264128 has 216 divisors, whose sum is σ = 28492092720. Its totient is φ = 2717614080.

The previous prime is 9013264109. The next prime is 9013264163. The reversal of 9013264128 is 8214623109.

9013264128 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 2 + 641 + 2 + 8 = 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 = 9013264092 and 9013264101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5803000 + ... + 5804552.

Almost surely, 2^9013264128 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 9013264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14246046360).

9013264128 is an abundant number, since it is smaller than the sum of its proper divisors (19478828592).

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

9013264128 is a wasteful number, since it uses less digits than its factorization.

9013264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9013264128 is about 94938.2121592776. The cubic root of 9013264128 is about 2081.1051917537.

The spelling of 9013264128 in words is "nine billion, thirteen million, two hundred sixty-four thousand, one hundred twenty-eight".