8216666128 has 120 divisors (see below), whose sum is σ = 18572561280. Its totient is φ = 3491354880.

The previous prime is 8216666123. The next prime is 8216666153.

8216666128 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8216666123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5018526 + ... + 5020162.

It is an arithmetic number, because the mean of its divisors is an integer number (154771344).

Almost surely, 2^8216666128 is an apocalyptic number.

8216666128 is a gapful number since it is divisible by the number (88) 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 8216666128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286280640).

8216666128 is an abundant number, since it is smaller than the sum of its proper divisors (10355895152).

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

8216666128 is a wasteful number, since it uses less digits than its factorization.

8216666128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1748 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 8216666128 is about 90645.8279679766. The cubic root of 8216666128 is about 2017.8949190645.

The spelling of 8216666128 in words is "eight billion, two hundred sixteen million, six hundred sixty-six thousand, one hundred twenty-eight".