8221863444480 has 1104 divisors, whose sum is σ = 33500740915200. Its totient is φ = 1864485568512.

The previous prime is 8221863444469. The next prime is 8221863444493. The reversal of 8221863444480 is 844443681228.

It is a happy number.

8221863444480 is a `hidden beast` number, since 8 + 2 + 2 + 186 + 344 + 44 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 64739082177 + ... + 64739082303.

Almost surely, 2^{8221863444480} is an apocalyptic number.

8221863444480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221863444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16750370457600).

8221863444480 is an abundant number, since it is smaller than the sum of its proper divisors (25278877470720).

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

8221863444480 is an frugal number, since it uses more digits than its factorization.

8221863444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 8221863444480 in words is "eight trillion, two hundred twenty-one billion, eight hundred sixty-three million, four hundred forty-four thousand, four hundred eighty".