11057223631681 has 2 divisors, whose sum is σ = 11057223631682. Its totient is φ = 11057223631680.

The previous prime is 11057223631639. The next prime is 11057223631693. The reversal of 11057223631681 is 18613632275011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6683336596225 + 4373887035456 = 2585215^2 + 2091384^2 .

It is an emirp because it is prime and its reverse (18613632275011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11057223631681 is a prime.

It is a super-2 number, since 2×11057223631681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11057223331681) 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, 5528611815840 + 5528611815841.

It is an arithmetic number, because the mean of its divisors is an integer number (5528611815841).

Almost surely, 2^{11057223631681} is an apocalyptic number.

It is an amenable number.

11057223631681 is a deficient number, since it is larger than the sum of its proper divisors (1).

11057223631681 is an equidigital number, since it uses as much as digits as its factorization.

11057223631681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 11057223631681 in words is "eleven trillion, fifty-seven billion, two hundred twenty-three million, six hundred thirty-one thousand, six hundred eighty-one".