966217712064 has 224 divisors, whose sum is σ = 2840950286592. Its totient is φ = 287345664000.

The previous prime is 966217712059. The next prime is 966217712123. The reversal of 966217712064 is 460217712669.

It is a happy number.

It is a super-2 number, since 2×966217712064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 966217711998 and 966217712016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58868019 + ... + 58884429.

Almost surely, 2^966217712064 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 966217712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420475143296).

966217712064 is an abundant number, since it is smaller than the sum of its proper divisors (1874732574528).

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

966217712064 is a wasteful number, since it uses less digits than its factorization.

966217712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16955 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 966217712064 in words is "nine hundred sixty-six billion, two hundred seventeen million, seven hundred twelve thousand, sixty-four".