966585801168 has 480 divisors, whose sum is σ = 3287255602176. Its totient is φ = 262039928832.

The previous prime is 966585801149. The next prime is 966585801169. The reversal of 966585801168 is 861108585669.

It is a super-2 number, since 2×966585801168² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966585801169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34387696 + ... + 34415792.

Almost surely, 2^966585801168 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 966585801168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643627801088).

966585801168 is an abundant number, since it is smaller than the sum of its proper divisors (2320669801008).

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

966585801168 is a wasteful number, since it uses less digits than its factorization.

966585801168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28211 (or 28202 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 966585801168 in words is "nine hundred sixty-six billion, five hundred eighty-five million, eight hundred one thousand, one hundred sixty-eight".