966864023712 has 192 divisors, whose sum is σ = 2988275068800. Its totient is φ = 303088988160.

The previous prime is 966864023711. The next prime is 966864023759. The reversal of 966864023712 is 217320468669.

966864023712 is a `hidden beast` number, since 96 + 6 + 86 + 402 + 3 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (966864023711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18936714 + ... + 18987702.

It is an arithmetic number, because the mean of its divisors is an integer number (15563932650).

Almost surely, 2^966864023712 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 966864023712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494137534400).

966864023712 is an abundant number, since it is smaller than the sum of its proper divisors (2021411045088).

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

966864023712 is a wasteful number, since it uses less digits than its factorization.

966864023712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52316 (or 52302 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 966864023712 in words is "nine hundred sixty-six billion, eight hundred sixty-four million, twenty-three thousand, seven hundred twelve".