34233363271201 has 2 divisors, whose sum is σ = 34233363271202. Its totient is φ = 34233363271200.

The previous prime is 34233363271127. The next prime is 34233363271259. The reversal of 34233363271201 is 10217236333243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22556790861201 + 11676572410000 = 4749399^2 + 3417100^2 .

It is a cyclic number.

It is not a de Polignac number, because 34233363271201 - 2¹⁵ = 34233363238433 is a prime.

It is not a weakly prime, because it can be changed into another prime (34233363271271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17116681635600 + 17116681635601.

It is an arithmetic number, because the mean of its divisors is an integer number (17116681635601).

Almost surely, 2^{34233363271201} is an apocalyptic number.

It is an amenable number.

34233363271201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34233363271201 is an equidigital number, since it uses as much as digits as its factorization.

34233363271201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 40.

The spelling of 34233363271201 in words is "thirty-four trillion, two hundred thirty-three billion, three hundred sixty-three million, two hundred seventy-one thousand, two hundred one".