8220348192 has 288 divisors, whose sum is σ = 25780737024. Its totient is φ = 2286144000.

The previous prime is 8220348187. The next prime is 8220348221. The reversal of 8220348192 is 2918430228.

It is a self number, because there is not a number n which added to its sum of digits gives 8220348192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50431503 + ... + 50431665.

It is an arithmetic number, because the mean of its divisors is an integer number (89516448).

Almost surely, 2^8220348192 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 8220348192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890368512).

8220348192 is an abundant number, since it is smaller than the sum of its proper divisors (17560388832).

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

8220348192 is a wasteful number, since it uses less digits than its factorization.

8220348192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8220348192 is about 90666.1358611913. The cubic root of 8220348192 is about 2018.1962946892.

The spelling of 8220348192 in words is "eight billion, two hundred twenty million, three hundred forty-eight thousand, one hundred ninety-two".