166443073200 has 90 divisors (see below), whose sum is σ = 577603710684. Its totient is φ = 44384818560.

The previous prime is 166443073171. The next prime is 166443073207. The reversal of 166443073200 is 2370344661.

It is a happy number.

166443073200 is a `hidden beast` number, since 1 + 6 + 6 + 443 + 0 + 7 + 3 + 200 = 666.

166443073200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166443073207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23113494 + ... + 23120693.

Almost surely, 2^166443073200 is an apocalyptic number.

166443073200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166443073200 is an abundant number, since it is smaller than the sum of its proper divisors (411160637484).

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

166443073200 is a wasteful number, since it uses less digits than its factorization.

166443073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46234211 (or 46234197 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 166443073200 in words is "one hundred sixty-six billion, four hundred forty-three million, seventy-three thousand, two hundred".