224014421420321 has 32 divisors (see below), whose sum is σ = 264557381760000. Its totient is φ = 189575216341056.

The previous prime is 224014421420303. The next prime is 224014421420359. The reversal of 224014421420321 is 123024124410422.

It is not a de Polignac number, because 224014421420321 - 2⁴⁶ = 153645677242657 is a prime.

It is a super-2 number, since 2×224014421420321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224014421422321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875349035 + ... + 875604911.

It is an arithmetic number, because the mean of its divisors is an integer number (8267418180000).

Almost surely, 2^{224014421420321} is an apocalyptic number.

It is an amenable number.

224014421420321 is a deficient number, since it is larger than the sum of its proper divisors (40542960339679).

224014421420321 is an equidigital number, since it uses as much as digits as its factorization.

224014421420321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288286 (or 288272 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 224014421420321 its reverse (123024124410422), we get a palindrome (347038545830743).

The spelling of 224014421420321 in words is "two hundred twenty-four trillion, fourteen billion, four hundred twenty-one million, four hundred twenty thousand, three hundred twenty-one".