8973888966 has 64 divisors (see below), whose sum is σ = 22863029760. Its totient is φ = 2555845920.

The previous prime is 8973888941. The next prime is 8973889009. The reversal of 8973888966 is 6698883798.

8973888966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8973888894 and 8973888903.

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, 82381 + ... + 157271.

It is an arithmetic number, because the mean of its divisors is an integer number (357234840).

Almost surely, 2^8973888966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973888966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431514880).

8973888966 is an abundant number, since it is smaller than the sum of its proper divisors (13889140794).

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

8973888966 is a wasteful number, since it uses less digits than its factorization.

8973888966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75226 (or 75220 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The square root of 8973888966 is about 94730.6126128191. The cubic root of 8973888966 is about 2078.0702767872.

The spelling of 8973888966 in words is "eight billion, nine hundred seventy-three million, eight hundred eighty-eight thousand, nine hundred sixty-six".