18066333366081 has 512 divisors, whose sum is σ = 37997960232960. Its totient is φ = 8176876646400.

The previous prime is 18066333366073. The next prime is 18066333366089.

It is a happy number.

18066333366081 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (18066333366073) and next prime (18066333366089).

It is not a de Polignac number, because 18066333366081 - 2³ = 18066333366073 is a prime.

It is a super-3 number, since 3×18066333366081³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18066333366089) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21845626390 + ... + 21845627216.

It is an arithmetic number, because the mean of its divisors is an integer number (74214766080).

Almost surely, 2^{18066333366081} is an apocalyptic number.

18066333366081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18066333366081 is an abundant number, since it is smaller than the sum of its proper divisors (19931626866879).

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

18066333366081 is a wasteful number, since it uses less digits than its factorization.

18066333366081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 18066333366081 in words is "eighteen trillion, sixty-six billion, three hundred thirty-three million, three hundred sixty-six thousand, eighty-one".