181479168 has 216 divisors, whose sum is σ = 578100432. Its totient is φ = 54411264.

The previous prime is 181479149. The next prime is 181479197. The reversal of 181479168 is 861974181.

It is a happy number.

181479168 is a `hidden beast` number, since 18 + 1 + 479 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2186455 + ... + 2186537.

Almost surely, 2^181479168 is an apocalyptic number.

181479168 is a gapful number since it is divisible by the number (18) 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 181479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289050216).

181479168 is an abundant number, since it is smaller than the sum of its proper divisors (396621264).

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

181479168 is a wasteful number, since it uses less digits than its factorization.

181479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 181479168 is about 13471.4204150862. The cubic root of 181479168 is about 566.1640116201.

The spelling of 181479168 in words is "one hundred eighty-one million, four hundred seventy-nine thousand, one hundred sixty-eight".