226782140681313 has 96 divisors (see below), whose sum is σ = 388696893661440. Its totient is φ = 124663575697920.

The previous prime is 226782140681281. The next prime is 226782140681329. The reversal of 226782140681313 is 313186041287622.

226782140681313 is a `hidden beast` number, since 2 + 26 + 7 + 82 + 1 + 406 + 8 + 131 + 3 = 666.

It is not a de Polignac number, because 226782140681313 - 2⁵ = 226782140681281 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 226782140681313.

It is not an unprimeable number, because it can be changed into a prime (226782140681333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2276627878 + ... + 2276727488.

It is an arithmetic number, because the mean of its divisors is an integer number (4048925975640).

Almost surely, 2^{226782140681313} is an apocalyptic number.

It is an amenable number.

226782140681313 is a deficient number, since it is larger than the sum of its proper divisors (161914752980127).

226782140681313 is a wasteful number, since it uses less digits than its factorization.

226782140681313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104199 (or 104196 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 226782140681313 in words is "two hundred twenty-six trillion, seven hundred eighty-two billion, one hundred forty million, six hundred eighty-one thousand, three hundred thirteen".