226122416646353 has 2 divisors, whose sum is σ = 226122416646354. Its totient is φ = 226122416646352.

The previous prime is 226122416646193. The next prime is 226122416646461. The reversal of 226122416646353 is 353646614221622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223113759882049 + 3008656764304 = 14936993^2 + 1734548^2 .

It is a cyclic number.

It is not a de Polignac number, because 226122416646353 - 2¹⁰ = 226122416645329 is a prime.

It is a super-2 number, since 2×226122416646353² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226122416646295 and 226122416646304.

It is not a weakly prime, because it can be changed into another prime (226122416645353) 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, 113061208323176 + 113061208323177.

It is an arithmetic number, because the mean of its divisors is an integer number (113061208323177).

Almost surely, 2^{226122416646353} is an apocalyptic number.

It is an amenable number.

226122416646353 is a deficient number, since it is larger than the sum of its proper divisors (1).

226122416646353 is an equidigital number, since it uses as much as digits as its factorization.

226122416646353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14929920, while the sum is 53.

The spelling of 226122416646353 in words is "two hundred twenty-six trillion, one hundred twenty-two billion, four hundred sixteen million, six hundred forty-six thousand, three hundred fifty-three".