166305645 has 48 divisors (see below), whose sum is σ = 332983872. Its totient is φ = 75886080.

The previous prime is 166305637. The next prime is 166305647. The reversal of 166305645 is 546503661.

166305645 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 0 + 5 + 645 = 666.

It is not a de Polignac number, because 166305645 - 2³ = 166305637 is a prime.

It is a super-3 number, since 3×166305645³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166305647) 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, 1467 + ... + 18296.

It is an arithmetic number, because the mean of its divisors is an integer number (6937164).

Almost surely, 2^166305645 is an apocalyptic number.

166305645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166305645 is an abundant number, since it is smaller than the sum of its proper divisors (166678227).

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

166305645 is a wasteful number, since it uses less digits than its factorization.

166305645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19802 (or 19799 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 166305645 is about 12895.9545982451. The cubic root of 166305645 is about 549.9235651357.

The spelling of 166305645 in words is "one hundred sixty-six million, three hundred five thousand, six hundred forty-five".