34214230441201 has 2 divisors, whose sum is σ = 34214230441202. Its totient is φ = 34214230441200.

The previous prime is 34214230441129. The next prime is 34214230441217. The reversal of 34214230441201 is 10214403241243.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30697705383601 + 3516525057600 = 5540551^2 + 1875240^2 .

It is a cyclic number.

It is not a de Polignac number, because 34214230441201 - 2¹⁵ = 34214230408433 is a prime.

It is a super-2 number, since 2×34214230441201² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34214230441291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17107115220600 + 17107115220601.

It is an arithmetic number, because the mean of its divisors is an integer number (17107115220601).

Almost surely, 2^{34214230441201} is an apocalyptic number.

It is an amenable number.

34214230441201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34214230441201 is an equidigital number, since it uses as much as digits as its factorization.

34214230441201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34214230441201 its reverse (10214403241243), we get a palindrome (44428633682444).

The spelling of 34214230441201 in words is "thirty-four trillion, two hundred fourteen billion, two hundred thirty million, four hundred forty-one thousand, two hundred one".