114222044322441 has 48 divisors (see below), whose sum is σ = 190578011727168. Its totient is φ = 65151912729600.

The previous prime is 114222044322439. The next prime is 114222044322467. The reversal of 114222044322441 is 144223440222411.

114222044322441 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 204 + 4 + 3 + 2 + 2 + 441 = 666.

It is not a de Polignac number, because 114222044322441 - 2¹ = 114222044322439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114222044322396 and 114222044322405.

It is not an unprimeable number, because it can be changed into a prime (114222044322041) 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, 75502701 + ... + 77000661.

It is an arithmetic number, because the mean of its divisors is an integer number (3970375244316).

Almost surely, 2^{114222044322441} is an apocalyptic number.

114222044322441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114222044322441 is a deficient number, since it is larger than the sum of its proper divisors (76355967404727).

114222044322441 is a wasteful number, since it uses less digits than its factorization.

114222044322441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543302 (or 1543299 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 114222044322441 its reverse (144223440222411), we get a palindrome (258445484544852).

The spelling of 114222044322441 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred twenty-two thousand, four hundred forty-one".