166218345216 has 1008 divisors, whose sum is σ = 636984311040. Its totient is φ = 42012794880.

The previous prime is 166218345211. The next prime is 166218345217. The reversal of 166218345216 is 612543812661.

166218345216 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 183 + 452 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (166218345211) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 617911930 + ... + 617912198.

It is an arithmetic number, because the mean of its divisors is an integer number (631928880).

Almost surely, 2^166218345216 is an apocalyptic number.

166218345216 is a gapful number since it is divisible by the number (16) 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 166218345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318492155520).

166218345216 is an abundant number, since it is smaller than the sum of its proper divisors (470765965824).

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

166218345216 is an equidigital number, since it uses as much as digits as its factorization.

166218345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 166218345216 in words is "one hundred sixty-six billion, two hundred eighteen million, three hundred forty-five thousand, two hundred sixteen".