9005453856 has 384 divisors, whose sum is σ = 32107622400. Its totient is φ = 2399569920.

The previous prime is 9005453801. The next prime is 9005453857. The reversal of 9005453856 is 6583545009.

It is not an unprimeable number, because it can be changed into a prime (9005453857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5702475 + ... + 5704053.

It is an arithmetic number, because the mean of its divisors is an integer number (83613600).

Almost surely, 2^9005453856 is an apocalyptic number.

9005453856 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 9005453856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053811200).

9005453856 is an abundant number, since it is smaller than the sum of its proper divisors (23102168544).

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

9005453856 is a wasteful number, since it uses less digits than its factorization.

9005453856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 9005453856 is about 94897.0697967013. The cubic root of 9005453856 is about 2080.5039040477.

It can be divided in two parts, 900545 and 3856, that added together give a square (904401 = 951²).

The spelling of 9005453856 in words is "nine billion, five million, four hundred fifty-three thousand, eight hundred fifty-six".