181344416 has 48 divisors (see below), whose sum is σ = 398569248. Its totient is φ = 80505600.

The previous prime is 181344407. The next prime is 181344433. The reversal of 181344416 is 614443181.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9146 + ... + 21126.

It is an arithmetic number, because the mean of its divisors is an integer number (8303526).

Almost surely, 2^181344416 is an apocalyptic number.

181344416 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 181344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199284624).

181344416 is an abundant number, since it is smaller than the sum of its proper divisors (217224832).

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

181344416 is a wasteful number, since it uses less digits than its factorization.

181344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12045 (or 12037 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 181344416 is about 13466.4180835143. The cubic root of 181344416 is about 566.0238474638.

Adding to 181344416 its reverse (614443181), we get a palindrome (795787597).

The spelling of 181344416 in words is "one hundred eighty-one million, three hundred forty-four thousand, four hundred sixteen".