8444395008 has 360 divisors, whose sum is σ = 28654025400. Its totient is φ = 2386944000.

The previous prime is 8444394983. The next prime is 8444395019. The reversal of 8444395008 is 8005934448.

It is a happy number.

It is a super-2 number, since 2×8444395008² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 33642883 + ... + 33643133.

It is an arithmetic number, because the mean of its divisors is an integer number (79594515).

Almost surely, 2^8444395008 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 8444395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327012700).

8444395008 is an abundant number, since it is smaller than the sum of its proper divisors (20209630392).

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

8444395008 is a wasteful number, since it uses less digits than its factorization.

8444395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8444395008 is about 91893.3893596270. The cubic root of 8444395008 is about 2036.3676075680.

The spelling of 8444395008 in words is "eight billion, four hundred forty-four million, three hundred ninety-five thousand, eight".