166418112 has 210 divisors, whose sum is σ = 542127948. Its totient is φ = 45045504.

The previous prime is 166418111. The next prime is 166418141. The reversal of 166418112 is 211814661.

166418112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166418112.

It is not an unprimeable number, because it can be changed into a prime (166418111) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8758839 + ... + 8758857.

Almost surely, 2^166418112 is an apocalyptic number.

166418112 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 166418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271063974).

166418112 is an abundant number, since it is smaller than the sum of its proper divisors (375709836).

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

166418112 is an frugal number, since it uses more digits than its factorization.

166418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 166418112 is about 12900.3144147730. The cubic root of 166418112 is about 550.0475022333.

It can be divided in two parts, 16641 and 8112, that added together give a triangular number (24753 = T₂₂₂).

The spelling of 166418112 in words is "one hundred sixty-six million, four hundred eighteen thousand, one hundred twelve".