34144214421221 has 2 divisors, whose sum is σ = 34144214421222. Its totient is φ = 34144214421220.

The previous prime is 34144214421217. The next prime is 34144214421253. The reversal of 34144214421221 is 12212441244143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18511600905121 + 15632613516100 = 4302511^2 + 3953810^2 .

It is a cyclic number.

It is not a de Polignac number, because 34144214421221 - 2² = 34144214421217 is a prime.

It is a super-2 number, since 2×34144214421221² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34144214411221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17072107210610 + 17072107210611.

It is an arithmetic number, because the mean of its divisors is an integer number (17072107210611).

Almost surely, 2^{34144214421221} is an apocalyptic number.

It is an amenable number.

34144214421221 is a deficient number, since it is larger than the sum of its proper divisors (1).

34144214421221 is an equidigital number, since it uses as much as digits as its factorization.

34144214421221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49152, while the sum is 35.

Adding to 34144214421221 its reverse (12212441244143), we get a palindrome (46356655665364).

The spelling of 34144214421221 in words is "thirty-four trillion, one hundred forty-four billion, two hundred fourteen million, four hundred twenty-one thousand, two hundred twenty-one".