181218312 has 192 divisors, whose sum is σ = 566392320. Its totient is φ = 52272000.

The previous prime is 181218293. The next prime is 181218353. The reversal of 181218312 is 213812181.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970762 + ... + 2970822.

It is an arithmetic number, because the mean of its divisors is an integer number (2949960).

Almost surely, 2^181218312 is an apocalyptic number.

181218312 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 181218312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283196160).

181218312 is an abundant number, since it is smaller than the sum of its proper divisors (385174008).

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

181218312 is a wasteful number, since it uses less digits than its factorization.

181218312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 181218312 is about 13461.7351036187. The cubic root of 181218312 is about 565.8926157368.

The spelling of 181218312 in words is "one hundred eighty-one million, two hundred eighteen thousand, three hundred twelve".