18678406131 has 48 divisors (see below), whose sum is σ = 33667964928. Its totient is φ = 9694224000.

The previous prime is 18678406093. The next prime is 18678406151. The reversal of 18678406131 is 13160487681.

It is not a de Polignac number, because 18678406131 - 2¹³ = 18678397939 is a prime.

It is a super-2 number, since 2×18678406131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18678406151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785935 + ... + 809351.

It is an arithmetic number, because the mean of its divisors is an integer number (701415936).

Almost surely, 2^18678406131 is an apocalyptic number.

18678406131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18678406131 is a deficient number, since it is larger than the sum of its proper divisors (14989558797).

18678406131 is a wasteful number, since it uses less digits than its factorization.

18678406131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24592 (or 24589 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18678406131 in words is "eighteen billion, six hundred seventy-eight million, four hundred six thousand, one hundred thirty-one".