2263456543681 has 2 divisors, whose sum is σ = 2263456543682. Its totient is φ = 2263456543680.

The previous prime is 2263456543619. The next prime is 2263456543709. The reversal of 2263456543681 is 1863456543622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2247885497025 + 15571046656 = 1499295^2 + 124784^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263456543681 - 2¹³ = 2263456535489 is a prime.

It is a super-2 number, since 2×2263456543681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2263456543781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131728271840 + 1131728271841.

It is an arithmetic number, because the mean of its divisors is an integer number (1131728271841).

Almost surely, 2^{2263456543681} is an apocalyptic number.

It is an amenable number.

2263456543681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263456543681 is an equidigital number, since it uses as much as digits as its factorization.

2263456543681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24883200, while the sum is 55.

The spelling of 2263456543681 in words is "two trillion, two hundred sixty-three billion, four hundred fifty-six million, five hundred forty-three thousand, six hundred eighty-one".