8281144448 has 32 divisors (see below), whose sum is σ = 17468043660. Its totient is φ = 3897008128.

The previous prime is 8281144369. The next prime is 8281144493. The reversal of 8281144448 is 8444411828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7884019264 + 397125184 = 88792^2 + 19928^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 = 8281144399 and 8281144408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1900661 + ... + 1905012.

Almost surely, 2^8281144448 is an apocalyptic number.

It is an amenable number.

8281144448 is an abundant number, since it is smaller than the sum of its proper divisors (9186899212).

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

8281144448 is a wasteful number, since it uses less digits than its factorization.

8281144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805704 (or 3805692 counting only the distinct ones).

The product of its digits is 262144, while the sum is 44.

The square root of 8281144448 is about 91000.7936668686. The cubic root of 8281144448 is about 2023.1594879045.

The spelling of 8281144448 in words is "eight billion, two hundred eighty-one million, one hundred forty-four thousand, four hundred forty-eight".