8201448192 has 288 divisors, whose sum is σ = 27408568320. Its totient is φ = 2122813440.

The previous prime is 8201448191. The next prime is 8201448197. The reversal of 8201448192 is 2918441028.

It is a self number, because there is not a number n which added to its sum of digits gives 8201448192.

It is not an unprimeable number, because it can be changed into a prime (8201448191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2347567 + ... + 2351057.

It is an arithmetic number, because the mean of its divisors is an integer number (95168640).

Almost surely, 2^8201448192 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 8201448192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704284160).

8201448192 is an abundant number, since it is smaller than the sum of its proper divisors (19207120128).

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

8201448192 is a wasteful number, since it uses less digits than its factorization.

8201448192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8201448192 is about 90561.8473309815. The cubic root of 8201448192 is about 2016.6483805125.

The spelling of 8201448192 in words is "eight billion, two hundred one million, four hundred forty-eight thousand, one hundred ninety-two".