114441411321 has 12 divisors (see below), whose sum is σ = 165529787748. Its totient is φ = 76190184864.

The previous prime is 114441411313. The next prime is 114441411341. The reversal of 114441411321 is 123114144411.

114441411321 is a `hidden beast` number, since 114 + 4 + 414 + 1 + 132 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105778455696 + 8662955625 = 325236^2 + 93075^2 .

It is not a de Polignac number, because 114441411321 - 2³ = 114441411313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114441411341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8667150 + ... + 8680343.

It is an arithmetic number, because the mean of its divisors is an integer number (13794148979).

Almost surely, 2^114441411321 is an apocalyptic number.

It is an amenable number.

114441411321 is a deficient number, since it is larger than the sum of its proper divisors (51088376427).

114441411321 is a wasteful number, since it uses less digits than its factorization.

114441411321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348232 (or 17348229 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 114441411321 its reverse (123114144411), we get a palindrome (237555555732).

The spelling of 114441411321 in words is "one hundred fourteen billion, four hundred forty-one million, four hundred eleven thousand, three hundred twenty-one".