966018816 has 216 divisors, whose sum is σ = 3223715040. Its totient is φ = 272498688.

The previous prime is 966018811. The next prime is 966018817. The reversal of 966018816 is 618810669.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966018811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435056 + ... + 1435728.

Almost surely, 2^966018816 is an apocalyptic number.

966018816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611857520).

966018816 is an abundant number, since it is smaller than the sum of its proper divisors (2257696224).

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

966018816 is a wasteful number, since it uses less digits than its factorization.

966018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 966018816 is about 31080.8432318044. The cubic root of 966018816 is about 988.5421579250.

The spelling of 966018816 in words is "nine hundred sixty-six million, eighteen thousand, eight hundred sixteen".