8646516916224 has 480 divisors, whose sum is σ = 26977820808960. Its totient is φ = 2435265331200.

The previous prime is 8646516916211. The next prime is 8646516916237. The reversal of 8646516916224 is 4226196156468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8646516916211) and next prime (8646516916237).

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 31 ways as a sum of consecutive naturals, for example, 544448764 + ... + 544464644.

It is an arithmetic number, because the mean of its divisors is an integer number (56203793352).

Almost surely, 2^{8646516916224} 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 8646516916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488910404480).

8646516916224 is an abundant number, since it is smaller than the sum of its proper divisors (18331303892736).

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

8646516916224 is a wasteful number, since it uses less digits than its factorization.

8646516916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15969 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 8646516916224 in words is "eight trillion, six hundred forty-six billion, five hundred sixteen million, nine hundred sixteen thousand, two hundred twenty-four".