4414146065201 has 2 divisors, whose sum is σ = 4414146065202. Its totient is φ = 4414146065200.

The previous prime is 4414146065123. The next prime is 4414146065213. The reversal of 4414146065201 is 1025606414144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2390582914801 + 2023563150400 = 1546151^2 + 1422520^2 .

It is a cyclic number.

It is not a de Polignac number, because 4414146065201 - 2¹⁴ = 4414146048817 is a prime.

It is not a weakly prime, because it can be changed into another prime (4414146065501) 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 as a sum of consecutive naturals, namely, 2207073032600 + 2207073032601.

It is an arithmetic number, because the mean of its divisors is an integer number (2207073032601).

Almost surely, 2^{4414146065201} is an apocalyptic number.

It is an amenable number.

4414146065201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4414146065201 is an equidigital number, since it uses as much as digits as its factorization.

4414146065201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 4414146065201 in words is "four trillion, four hundred fourteen billion, one hundred forty-six million, sixty-five thousand, two hundred one".