8217218824224 has 144 divisors (see below), whose sum is σ = 22034832055488. Its totient is φ = 2680361468928.

The previous prime is 8217218824207. The next prime is 8217218824259. The reversal of 8217218824224 is 4224288127128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801909469 + ... + 801919715.

It is an arithmetic number, because the mean of its divisors is an integer number (153019667052).

Almost surely, 2^{8217218824224} 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 8217218824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017416027744).

8217218824224 is an abundant number, since it is smaller than the sum of its proper divisors (13817613231264).

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

8217218824224 is a wasteful number, since it uses less digits than its factorization.

8217218824224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 10702 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 51.

The spelling of 8217218824224 in words is "eight trillion, two hundred seventeen billion, two hundred eighteen million, eight hundred twenty-four thousand, two hundred twenty-four".