166438314 has 80 divisors (see below), whose sum is σ = 428491008. Its totient is φ = 47301408.

The previous prime is 166438301. The next prime is 166438361. The reversal of 166438314 is 413834661.

It is a happy number.

166438314 is a `hidden beast` number, since 1 + 6 + 643 + 8 + 3 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359247 + ... + 359709.

Almost surely, 2^166438314 is an apocalyptic number.

166438314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166438314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214245504).

166438314 is an abundant number, since it is smaller than the sum of its proper divisors (262052694).

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

166438314 is a wasteful number, since it uses less digits than its factorization.

166438314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 166438314 is about 12901.0973951831. The cubic root of 166438314 is about 550.0697586450.

The spelling of 166438314 in words is "one hundred sixty-six million, four hundred thirty-eight thousand, three hundred fourteen".