8446829952 has 192 divisors, whose sum is σ = 24907176000. Its totient is φ = 2534231040.

The previous prime is 8446829947. The next prime is 8446829983. The reversal of 8446829952 is 2599286448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 8446829892 and 8446829901.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4970799 + ... + 4972497.

It is an arithmetic number, because the mean of its divisors is an integer number (129724875).

Almost surely, 2^8446829952 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 8446829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453588000).

8446829952 is an abundant number, since it is smaller than the sum of its proper divisors (16460346048).

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

8446829952 is a wasteful number, since it uses less digits than its factorization.

8446829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1822 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 8446829952 is about 91906.6371487936. The cubic root of 8446829952 is about 2036.5633178417.

The spelling of 8446829952 in words is "eight billion, four hundred forty-six million, eight hundred twenty-nine thousand, nine hundred fifty-two".