8448443136 has 216 divisors, whose sum is σ = 27963097344. Its totient is φ = 2403072000.

The previous prime is 8448443117. The next prime is 8448443141. The reversal of 8448443136 is 6313448448.

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 = 8448443091 and 8448443100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4047085 + ... + 4049171.

It is an arithmetic number, because the mean of its divisors is an integer number (129458784).

Almost surely, 2^8448443136 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 8448443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981548672).

8448443136 is an abundant number, since it is smaller than the sum of its proper divisors (19514654208).

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

8448443136 is a wasteful number, since it uses less digits than its factorization.

8448443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2350 counting only the distinct ones).

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

The square root of 8448443136 is about 91915.4129403769. The cubic root of 8448443136 is about 2036.6929578863.

It can be divided in two parts, 8448 and 443136, that added together give a square (451584 = 672²).

The spelling of 8448443136 in words is "eight billion, four hundred forty-eight million, four hundred forty-three thousand, one hundred thirty-six".