8241198336 has 288 divisors, whose sum is σ = 28256256000. Its totient is φ = 2320496640.

The previous prime is 8241198311. The next prime is 8241198349. The reversal of 8241198336 is 6338911428.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 8241198291 and 8241198300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3434065 + ... + 3436463.

It is an arithmetic number, because the mean of its divisors is an integer number (98112000).

Almost surely, 2^8241198336 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 8241198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128000).

8241198336 is an abundant number, since it is smaller than the sum of its proper divisors (20015057664).

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

8241198336 is a wasteful number, since it uses less digits than its factorization.

8241198336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2482 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 8241198336 is about 90781.0461274819. The cubic root of 8241198336 is about 2019.9011760953.

The spelling of 8241198336 in words is "eight billion, two hundred forty-one million, one hundred ninety-eight thousand, three hundred thirty-six".