66164555546166 has 96 divisors (see below), whose sum is σ = 166831728295680. Its totient is φ = 17123556605760.

The previous prime is 66164555546161. The next prime is 66164555546203.

66164555546166 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×66164555546166³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66164555546097 and 66164555546106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164555546161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22092996 + ... + 24908423.

It is an arithmetic number, because the mean of its divisors is an integer number (1737830503080).

Almost surely, 2^{66164555546166} is an apocalyptic number.

66164555546166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66164555546166 is an abundant number, since it is smaller than the sum of its proper divisors (100667172749514).

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

66164555546166 is a wasteful number, since it uses less digits than its factorization.

66164555546166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47001730 (or 47001719 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 66.

The spelling of 66164555546166 in words is "sixty-six trillion, one hundred sixty-four billion, five hundred fifty-five million, five hundred forty-six thousand, one hundred sixty-six".