18641105361 has 48 divisors (see below), whose sum is σ = 27923251200. Its totient is φ = 11976198624.

The previous prime is 18641105323. The next prime is 18641105363. The reversal of 18641105361 is 16350114681.

It is a happy number.

18641105361 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 110 + 536 + 1 = 666.

It is not a de Polignac number, because 18641105361 - 2⁹ = 18641104849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18641105363) 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, 20283660 + ... + 20284578.

It is an arithmetic number, because the mean of its divisors is an integer number (581734400).

Almost surely, 2^18641105361 is an apocalyptic number.

It is an amenable number.

18641105361 is a deficient number, since it is larger than the sum of its proper divisors (9282145839).

18641105361 is a wasteful number, since it uses less digits than its factorization.

18641105361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18641105361 in words is "eighteen billion, six hundred forty-one million, one hundred five thousand, three hundred sixty-one".