181114241 has 24 divisors (see below), whose sum is σ = 233036064. Its totient is φ = 139164480.

The previous prime is 181114201. The next prime is 181114249. The reversal of 181114241 is 142411181.

It is not a de Polignac number, because 181114241 - 2¹⁰ = 181113217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181114249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37046 + ... + 41648.

It is an arithmetic number, because the mean of its divisors is an integer number (9709836).

Almost surely, 2^181114241 is an apocalyptic number.

181114241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

181114241 is a deficient number, since it is larger than the sum of its proper divisors (51921823).

181114241 is a wasteful number, since it uses less digits than its factorization.

181114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4694 counting only the distinct ones).

The product of its digits is 256, while the sum is 23.

The square root of 181114241 is about 13457.8691106728. The cubic root of 181114241 is about 565.7842670695.

The spelling of 181114241 in words is "one hundred eighty-one million, one hundred fourteen thousand, two hundred forty-one".