8448198912 has 360 divisors, whose sum is σ = 27215532960. Its totient is φ = 2597806080.

The previous prime is 8448198881. The next prime is 8448198923. The reversal of 8448198912 is 2198918448.

It is a happy number.

8448198912 is a `hidden beast` number, since 8 + 448 + 198 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

8448198912 is a modest number, since divided by 198912 gives 8448 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16153083 + ... + 16153605.

Almost surely, 2^8448198912 is an apocalyptic number.

8448198912 is a gapful number since it is divisible by the number (82) 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 8448198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607766480).

8448198912 is an abundant number, since it is smaller than the sum of its proper divisors (18767334048).

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

8448198912 is a wasteful number, since it uses less digits than its factorization.

8448198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 588 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 8448198912 is about 91914.0844049485. The cubic root of 8448198912 is about 2036.6733324127.

The spelling of 8448198912 in words is "eight billion, four hundred forty-eight million, one hundred ninety-eight thousand, nine hundred twelve".