214414414322321 has 8 divisors (see below), whose sum is σ = 225748630672320. Its totient is φ = 203085122689872.

The previous prime is 214414414322309. The next prime is 214414414322341. The reversal of 214414414322321 is 123223414414412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 214414414322321 - 2³⁴ = 214397234453137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214414414322341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231090010 + ... + 1231264163.

It is an arithmetic number, because the mean of its divisors is an integer number (28218578834040).

Almost surely, 2^{214414414322321} is an apocalyptic number.

It is an amenable number.

214414414322321 is a deficient number, since it is larger than the sum of its proper divisors (11334216349999).

214414414322321 is a wasteful number, since it uses less digits than its factorization.

214414414322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462358775.

The product of its digits is 147456, while the sum is 38.

Adding to 214414414322321 its reverse (123223414414412), we get a palindrome (337637828736733).

The spelling of 214414414322321 in words is "two hundred fourteen trillion, four hundred fourteen billion, four hundred fourteen million, three hundred twenty-two thousand, three hundred twenty-one".