966816119808 has 1056 divisors, whose sum is σ = 3649275002880. Its totient is φ = 239210496000.

The previous prime is 966816119747. The next prime is 966816119849. The reversal of 966816119808 is 808911618669.

966816119808 is a `hidden beast` number, since 9 + 6 + 6 + 8 + 1 + 611 + 9 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1561899723 + ... + 1561900341.

Almost surely, 2^966816119808 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 966816119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824637501440).

966816119808 is an abundant number, since it is smaller than the sum of its proper divisors (2682458883072).

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

966816119808 is a wasteful number, since it uses less digits than its factorization.

966816119808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 966816119808 in words is "nine hundred sixty-six billion, eight hundred sixteen million, one hundred nineteen thousand, eight hundred eight".