8429216544 has 288 divisors, whose sum is σ = 28966654080. Its totient is φ = 2271338496.

The previous prime is 8429216507. The next prime is 8429216561. The reversal of 8429216544 is 4456129248.

It is a happy number.

8429216544 is a `hidden beast` number, since 8 + 4 + 2 + 92 + 16 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8429216544.

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, 12908122 + ... + 12908774.

It is an arithmetic number, because the mean of its divisors is an integer number (100578660).

Almost surely, 2^8429216544 is an apocalyptic number.

8429216544 is a gapful number since it is divisible by the number (84) 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 8429216544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483327040).

8429216544 is an abundant number, since it is smaller than the sum of its proper divisors (20537437536).

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

8429216544 is a wasteful number, since it uses less digits than its factorization.

8429216544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1021 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 8429216544 is about 91810.7648590295. The cubic root of 8429216544 is about 2035.1467792316.

The spelling of 8429216544 in words is "eight billion, four hundred twenty-nine million, two hundred sixteen thousand, five hundred forty-four".