9053384256 has 420 divisors, whose sum is σ = 32321411100. Its totient is φ = 2495453184.

The previous prime is 9053384251. The next prime is 9053384281. The reversal of 9053384256 is 6524833509.

9053384256 is a `hidden beast` number, since 90 + 533 + 8 + 4 + 25 + 6 = 666.

9053384256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7427681856 + 1625702400 = 86184^2 + 40320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053384251) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 7365850 + ... + 7367078.

Almost surely, 2^9053384256 is an apocalyptic number.

9053384256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9053384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160705550).

9053384256 is an abundant number, since it is smaller than the sum of its proper divisors (23268026844).

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

9053384256 is a wasteful number, since it uses less digits than its factorization.

9053384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 9053384256 is about 95149.2735442578. The cubic root of 9053384256 is about 2084.1884487150.

The spelling of 9053384256 in words is "nine billion, fifty-three million, three hundred eighty-four thousand, two hundred fifty-six".