966918313816 has 64 divisors (see below), whose sum is σ = 2233811623680. Its totient is φ = 382095135360.

The previous prime is 966918313799. The next prime is 966918313843. The reversal of 966918313816 is 618313819669.

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 15 ways as a sum of consecutive naturals, for example, 71890 + ... + 1392481.

It is an arithmetic number, because the mean of its divisors is an integer number (34903306620).

Almost surely, 2^966918313816 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 966918313816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116905811840).

966918313816 is an abundant number, since it is smaller than the sum of its proper divisors (1266893309864).

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

966918313816 is a wasteful number, since it uses less digits than its factorization.

966918313816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465304 (or 1465300 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 61.

The spelling of 966918313816 in words is "nine hundred sixty-six billion, nine hundred eighteen million, three hundred thirteen thousand, eight hundred sixteen".