9001334982528 has 384 divisors, whose sum is σ = 29731722209280. Its totient is φ = 2560619077632.

The previous prime is 9001334982527. The next prime is 9001334982533. The reversal of 9001334982528 is 8252894331009.

9001334982528 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 3 + 34 + 9 + 82 + 528 = 666.

9001334982528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001334982527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878014500 + ... + 1878019292.

It is an arithmetic number, because the mean of its divisors is an integer number (77426359920).

Almost surely, 2^{9001334982528} 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 9001334982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865861104640).

9001334982528 is an abundant number, since it is smaller than the sum of its proper divisors (20730387226752).

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

9001334982528 is a wasteful number, since it uses less digits than its factorization.

9001334982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9001334982528 in words is "nine trillion, one billion, three hundred thirty-four million, nine hundred eighty-two thousand, five hundred twenty-eight".