8214283344 has 80 divisors (see below), whose sum is σ = 21357347328. Its totient is φ = 2720464896.

The previous prime is 8214283339. The next prime is 8214283351. The reversal of 8214283344 is 4433824128.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7487404 + ... + 7488500.

Almost surely, 2^8214283344 is an apocalyptic number.

It is an amenable number.

8214283344 is an abundant number, since it is smaller than the sum of its proper divisors (13143063984).

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

8214283344 is a wasteful number, since it uses less digits than its factorization.

8214283344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 8214283344 is about 90632.6836411678. The cubic root of 8214283344 is about 2017.6998410563.

The spelling of 8214283344 in words is "eight billion, two hundred fourteen million, two hundred eighty-three thousand, three hundred forty-four".