8444456064 has 448 divisors, whose sum is σ = 29030954400. Its totient is φ = 2418647040.

The previous prime is 8444456051. The next prime is 8444456129. The reversal of 8444456064 is 4606544448.

8444456064 is a `hidden beast` number, since 8 + 44 + 44 + 560 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19501992 + ... + 19502424.

Almost surely, 2^8444456064 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 8444456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515477200).

8444456064 is an abundant number, since it is smaller than the sum of its proper divisors (20586498336).

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

8444456064 is a wasteful number, since it uses less digits than its factorization.

8444456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The square root of 8444456064 is about 91893.7215700833. The cubic root of 8444456064 is about 2036.3725154452.

The spelling of 8444456064 in words is "eight billion, four hundred forty-four million, four hundred fifty-six thousand, sixty-four".