8444418336 has 36 divisors (see below), whose sum is σ = 24013815462. Its totient is φ = 2814806016.

The previous prime is 8444418319. The next prime is 8444418361. The reversal of 8444418336 is 6338144448.

It can be written as a sum of positive squares in only one way, i.e., 7917440400 + 526977936 = 88980^2 + 22956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8444418291 and 8444418300.

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 5 ways as a sum of consecutive naturals, for example, 14660161 + ... + 14660736.

Almost surely, 2^8444418336 is an apocalyptic number.

It is an amenable number.

8444418336 is an abundant number, since it is smaller than the sum of its proper divisors (15569397126).

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

8444418336 is a wasteful number, since it uses less digits than its factorization.

8444418336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29320913 (or 29320902 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 8444418336 is about 91893.5162892356. The cubic root of 8444418336 is about 2036.3694827503.

The spelling of 8444418336 in words is "eight billion, four hundred forty-four million, four hundred eighteen thousand, three hundred thirty-six".