3223617456161 has 2 divisors, whose sum is σ = 3223617456162. Its totient is φ = 3223617456160.

The previous prime is 3223617456127. The next prime is 3223617456193. The reversal of 3223617456161 is 1616547163223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2293104490000 + 930512966161 = 1514300^2 + 964631^2 .

It is an emirp because it is prime and its reverse (1616547163223) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3223617456161 is a prime.

It is a super-3 number, since 3×3223617456161³ (a number of 39 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3223617456121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1611808728080 + 1611808728081.

It is an arithmetic number, because the mean of its divisors is an integer number (1611808728081).

Almost surely, 2^{3223617456161} is an apocalyptic number.

It is an amenable number.

3223617456161 is a deficient number, since it is larger than the sum of its proper divisors (1).

3223617456161 is an equidigital number, since it uses as much as digits as its factorization.

3223617456161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1088640, while the sum is 47.

The spelling of 3223617456161 in words is "three trillion, two hundred twenty-three billion, six hundred seventeen million, four hundred fifty-six thousand, one hundred sixty-one".