84222412028328 has 192 divisors, whose sum is σ = 245375923320000. Its totient is φ = 24020011911168.

The previous prime is 84222412028323. The next prime is 84222412028369. The reversal of 84222412028328 is 82382021422248.

It is not an unprimeable number, because it can be changed into a prime (84222412028323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2237023648 + ... + 2237061296.

It is an arithmetic number, because the mean of its divisors is an integer number (1277999600625).

Almost surely, 2^{84222412028328} 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 84222412028328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122687961660000).

84222412028328 is an abundant number, since it is smaller than the sum of its proper divisors (161153511291672).

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

84222412028328 is a wasteful number, since it uses less digits than its factorization.

84222412028328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41064 (or 41053 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 84222412028328 in words is "eighty-four trillion, two hundred twenty-two billion, four hundred twelve million, twenty-eight thousand, three hundred twenty-eight".