2226651172337 has 2 divisors, whose sum is σ = 2226651172338. Its totient is φ = 2226651172336.

The previous prime is 2226651172271. The next prime is 2226651172357. The reversal of 2226651172337 is 7332711566222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1725954827536 + 500696344801 = 1313756^2 + 707599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226651172337 - 2³⁰ = 2225577430513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2226651172291 and 2226651172300.

It is not a weakly prime, because it can be changed into another prime (2226651172357) 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, 1113325586168 + 1113325586169.

It is an arithmetic number, because the mean of its divisors is an integer number (1113325586169).

Almost surely, 2^{2226651172337} is an apocalyptic number.

It is an amenable number.

2226651172337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226651172337 is an equidigital number, since it uses as much as digits as its factorization.

2226651172337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 47.

The spelling of 2226651172337 in words is "two trillion, two hundred twenty-six billion, six hundred fifty-one million, one hundred seventy-two thousand, three hundred thirty-seven".