226645681761 has 12 divisors (see below), whose sum is σ = 327382616340. Its totient is φ = 151094573280.

The previous prime is 226645681741. The next prime is 226645681781. The reversal of 226645681761 is 167186546622.

226645681761 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 4 + 568 + 1 + 76 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (226645681741) and next prime (226645681781).

It can be written as a sum of positive squares in 2 ways, for example, as 118983603600 + 107662078161 = 344940^2 + 328119^2 .

It is not a de Polignac number, because 226645681761 - 2¹⁵ = 226645648993 is a prime.

It is a super-2 number, since 2×226645681761² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 226645681698 and 226645681707.

It is not an unprimeable number, because it can be changed into a prime (226645681711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464655 + ... + 818043.

It is an arithmetic number, because the mean of its divisors is an integer number (27281884695).

Almost surely, 2^226645681761 is an apocalyptic number.

It is an amenable number.

226645681761 is a deficient number, since it is larger than the sum of its proper divisors (100736934579).

226645681761 is a wasteful number, since it uses less digits than its factorization.

226645681761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424656 (or 424653 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 226645681761 in words is "two hundred twenty-six billion, six hundred forty-five million, six hundred eighty-one thousand, seven hundred sixty-one".