18966788766981 has 24 divisors (see below), whose sum is σ = 29992669121376. Its totient is φ = 11454405020640.

The previous prime is 18966788766857. The next prime is 18966788766997.

18966788766981 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18966788766981 - 2²³ = 18966780378373 is a prime.

It is a super-2 number, since 2×18966788766981² (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 = 18966788766891 and 18966788766900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18966788766781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338459130 + ... + 338515163.

It is an arithmetic number, because the mean of its divisors is an integer number (1249694546724).

Almost surely, 2^{18966788766981} is an apocalyptic number.

18966788766981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18966788766981 is a deficient number, since it is larger than the sum of its proper divisors (11025880354395).

18966788766981 is a wasteful number, since it uses less digits than its factorization.

18966788766981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676974593 (or 676974590 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 90.

The spelling of 18966788766981 in words is "eighteen trillion, nine hundred sixty-six billion, seven hundred eighty-eight million, seven hundred sixty-six thousand, nine hundred eighty-one".