2265164440417 has 2 divisors, whose sum is σ = 2265164440418. Its totient is φ = 2265164440416.

The previous prime is 2265164440403. The next prime is 2265164440433. The reversal of 2265164440417 is 7140444615622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1928434919761 + 336729520656 = 1388681^2 + 580284^2 .

It is a cyclic number.

It is not a de Polignac number, because 2265164440417 - 2⁷ = 2265164440289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2215164440417) 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, 1132582220208 + 1132582220209.

It is an arithmetic number, because the mean of its divisors is an integer number (1132582220209).

Almost surely, 2^{2265164440417} is an apocalyptic number.

It is an amenable number.

2265164440417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2265164440417 is an equidigital number, since it uses as much as digits as its factorization.

2265164440417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 2265164440417 in words is "two trillion, two hundred sixty-five billion, one hundred sixty-four million, four hundred forty thousand, four hundred seventeen".