224012233440441 has 32 divisors (see below), whose sum is σ = 334243249200000. Its totient is φ = 148277269656000.

The previous prime is 224012233440407. The next prime is 224012233440467. The reversal of 224012233440441 is 144044332210422.

224012233440441 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 12 + 233 + 4 + 404 + 4 + 1 = 666.

It is not a de Polignac number, because 224012233440441 - 2²² = 224012229246137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224012233440396 and 224012233440405.

It is not an unprimeable number, because it can be changed into a prime (224012233640441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49988566 + ... + 54285183.

It is an arithmetic number, because the mean of its divisors is an integer number (10445101537500).

Almost surely, 2^{224012233440441} is an apocalyptic number.

It is an amenable number.

224012233440441 is a deficient number, since it is larger than the sum of its proper divisors (110231015759559).

224012233440441 is a wasteful number, since it uses less digits than its factorization.

224012233440441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104274326 (or 104274320 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 224012233440441 its reverse (144044332210422), we get a palindrome (368056565650863).

The spelling of 224012233440441 in words is "two hundred twenty-four trillion, twelve billion, two hundred thirty-three million, four hundred forty thousand, four hundred forty-one".