18676744767681 has 96 divisors (see below), whose sum is σ = 34527626062848. Its totient is φ = 8713830078720.

The previous prime is 18676744767679. The next prime is 18676744767689.

18676744767681 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18676744767681 - 2¹ = 18676744767679 is a prime.

It is a super-2 number, since 2×18676744767681² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18676744767597 and 18676744767606.

It is not an unprimeable number, because it can be changed into a prime (18676744767689) 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, 5020591 + ... + 7909476.

It is an arithmetic number, because the mean of its divisors is an integer number (359662771488).

Almost surely, 2^{18676744767681} is an apocalyptic number.

18676744767681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18676744767681 is a deficient number, since it is larger than the sum of its proper divisors (15850881295167).

18676744767681 is a wasteful number, since it uses less digits than its factorization.

18676744767681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930151 (or 12930138 counting only the distinct ones).

The product of its digits is 3186376704, while the sum is 78.

The spelling of 18676744767681 in words is "eighteen trillion, six hundred seventy-six billion, seven hundred forty-four million, seven hundred sixty-seven thousand, six hundred eighty-one".