8214224128 has 72 divisors (see below), whose sum is σ = 17916232320. Its totient is φ = 3727626240.

The previous prime is 8214224111. The next prime is 8214224149.

8214224128 is nontrivially palindromic in base 10.

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 = 8214224093 and 8214224102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022676 + ... + 2026732.

It is an arithmetic number, because the mean of its divisors is an integer number (248836560).

Almost surely, 2^8214224128 is an apocalyptic number.

8214224128 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 8214224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958116160).

8214224128 is an abundant number, since it is smaller than the sum of its proper divisors (9702008192).

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

8214224128 is a wasteful number, since it uses less digits than its factorization.

8214224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4789 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 8214224128 is about 90632.3569593112. The cubic root of 8214224128 is about 2017.6949925749.

The spelling of 8214224128 in words is "eight billion, two hundred fourteen million, two hundred twenty-four thousand, one hundred twenty-eight".