166182912 has 270 divisors, whose sum is σ = 582728328. Its totient is φ = 45416448.

The previous prime is 166182893. The next prime is 166182923. The reversal of 166182912 is 219281661.

166182912 is a `hidden beast` number, since 1 + 6 + 618 + 29 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7225333 + ... + 7225355.

Almost surely, 2^166182912 is an apocalyptic number.

166182912 is a gapful number since it is divisible by the number (12) 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 166182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291364164).

166182912 is an abundant number, since it is smaller than the sum of its proper divisors (416545416).

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

166182912 is an equidigital number, since it uses as much as digits as its factorization.

166182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 166182912 is about 12891.1951346646. The cubic root of 166182912 is about 549.7882512701.

The spelling of 166182912 in words is "one hundred sixty-six million, one hundred eighty-two thousand, nine hundred twelve".