8223882144 has 24 divisors (see below), whose sum is σ = 21587690880. Its totient is φ = 2741294016.

The previous prime is 8223882083. The next prime is 8223882167. The reversal of 8223882144 is 4412883228.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 8223882096 and 8223882105.

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, 42832624 + ... + 42832815.

It is an arithmetic number, because the mean of its divisors is an integer number (899487120).

Almost surely, 2^8223882144 is an apocalyptic number.

It is an amenable number.

8223882144 is an abundant number, since it is smaller than the sum of its proper divisors (13363808736).

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

8223882144 is a wasteful number, since it uses less digits than its factorization.

8223882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85665452 (or 85665444 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 8223882144 is about 90685.6225870452. The cubic root of 8223882144 is about 2018.4854627738.

The spelling of 8223882144 in words is "eight billion, two hundred twenty-three million, eight hundred eighty-two thousand, one hundred forty-four".