186783969387681 has 12 divisors (see below), whose sum is σ = 269802683358208. Its totient is φ = 124520977120824.

The previous prime is 186783969387677. The next prime is 186783969387713.

It is a happy number.

186783969387681 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 83 + 96 + 9 + 387 + 68 + 1 = 666.

186783969387681 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 186783969387681 - 2² = 186783969387677 is a prime.

It is a super-2 number, since 2×186783969387681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 186783969387591 and 186783969387600.

It is not an unprimeable number, because it can be changed into a prime (186783969387481) 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 in 11 ways as a sum of consecutive naturals, for example, 138385885 + ... + 139729098.

Almost surely, 2^{186783969387681} is an apocalyptic number.

It is an amenable number.

186783969387681 is a deficient number, since it is larger than the sum of its proper divisors (83018713970527).

186783969387681 is a wasteful number, since it uses less digits than its factorization.

186783969387681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278189612 (or 278189609 counting only the distinct ones).

The product of its digits is 31603654656, while the sum is 90.

The spelling of 186783969387681 in words is "one hundred eighty-six trillion, seven hundred eighty-three billion, nine hundred sixty-nine million, three hundred eighty-seven thousand, six hundred eighty-one".