18531104641 has 9 divisors (see below), whose sum is σ = 21557699649. Its totient is φ = 15882987204.

The previous prime is 18531104573. The next prime is 18531104659. The reversal of 18531104641 is 14640113581.

The square root of 18531104641 is 136129.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 18531104641 - 2⁷ = 18531104513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18531104597 and 18531104606.

It is not an unprimeable number, because it can be changed into a prime (18531104041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 943180 + ... + 962626.

It is an arithmetic number, because the mean of its divisors is an integer number (2395299961).

Almost surely, 2^18531104641 is an apocalyptic number.

18531104641 is the 136129-th square number.

18531104641 is the 68065-th centered octagonal number.

It is an amenable number.

18531104641 is a deficient number, since it is larger than the sum of its proper divisors (3026595008).

18531104641 is an frugal number, since it uses more digits than its factorization.

18531104641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38908 (or 19454 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 18531104641 in words is "eighteen billion, five hundred thirty-one million, one hundred four thousand, six hundred forty-one".