18966320918664 has 256 divisors, whose sum is σ = 59041114513920. Its totient is φ = 4952805212160.

The previous prime is 18966320918639. The next prime is 18966320918717. The reversal of 18966320918664 is 46681902366981.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54882864 + ... + 55227360.

It is an arithmetic number, because the mean of its divisors is an integer number (230629353570).

Almost surely, 2^{18966320918664} is an apocalyptic number.

18966320918664 is a gapful number since it is divisible by the number (14) 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 18966320918664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29520557256960).

18966320918664 is an abundant number, since it is smaller than the sum of its proper divisors (40074793595256).

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

18966320918664 is a wasteful number, since it uses less digits than its factorization.

18966320918664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345088 (or 345084 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 69.

The spelling of 18966320918664 in words is "eighteen trillion, nine hundred sixty-six billion, three hundred twenty million, nine hundred eighteen thousand, six hundred sixty-four".