8441049168 has 240 divisors, whose sum is σ = 26326971216. Its totient is φ = 2512650240.

The previous prime is 8441049163. The next prime is 8441049173. The reversal of 8441049168 is 8619401448.

8441049168 is a `hidden beast` number, since 8 + 441 + 0 + 49 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (8441049163) and next prime (8441049173).

It can be written as a sum of positive squares in 8 ways, for example, as 821854224 + 7619194944 = 28668^2 + 87288^2 .

It is a super-2 number, since 2×8441049168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8441049163) 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 47 ways as a sum of consecutive naturals, for example, 3712480 + ... + 3714752.

Almost surely, 2^8441049168 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 8441049168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163485608).

8441049168 is an abundant number, since it is smaller than the sum of its proper divisors (17885922048).

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

8441049168 is a wasteful number, since it uses less digits than its factorization.

8441049168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8441049168 is about 91875.1825467574. The cubic root of 8441049168 is about 2036.0986220357.

The spelling of 8441049168 in words is "eight billion, four hundred forty-one million, forty-nine thousand, one hundred sixty-eight".