816600947552 has 144 divisors (see below), whose sum is σ = 1916373543840. Its totient is φ = 339298308096.

The previous prime is 816600947549. The next prime is 816600947563. The reversal of 816600947552 is 255749006618.

It is a junction number, because it is equal to n+sod(n) for n = 816600947494 and 816600947503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631949 + ... + 3850227.

It is an arithmetic number, because the mean of its divisors is an integer number (13308149610).

Almost surely, 2^816600947552 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 816600947552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958186771920).

816600947552 is an abundant number, since it is smaller than the sum of its proper divisors (1099772596288).

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

816600947552 is a wasteful number, since it uses less digits than its factorization.

816600947552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218365 (or 218334 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 816600947552 in words is "eight hundred sixteen billion, six hundred million, nine hundred forty-seven thousand, five hundred fifty-two".