181416312 has 192 divisors, whose sum is σ = 627644160. Its totient is φ = 45964800.

The previous prime is 181416293. The next prime is 181416317. The reversal of 181416312 is 213614181.

It is a happy number.

181416312 is a `hidden beast` number, since 18 + 14 + 1 + 631 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181416317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238012 + ... + 238772.

It is an arithmetic number, because the mean of its divisors is an integer number (3268980).

Almost surely, 2^181416312 is an apocalyptic number.

181416312 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 181416312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313822080).

181416312 is an abundant number, since it is smaller than the sum of its proper divisors (446227848).

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

181416312 is a wasteful number, since it uses less digits than its factorization.

181416312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 827 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 181416312 is about 13469.0872741994. The cubic root of 181416312 is about 566.0986397194.

The spelling of 181416312 in words is "one hundred eighty-one million, four hundred sixteen thousand, three hundred twelve".