18109354041 has 27 divisors (see below), whose sum is σ = 27047672613. Its totient is φ = 11675379960.

The previous prime is 18109354027. The next prime is 18109354049. The reversal of 18109354041 is 14045390181.

The square root of 18109354041 is 134571.

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

18109354041 is a `hidden beast` number, since 1 + 8 + 109 + 3 + 540 + 4 + 1 = 666.

It is not a de Polignac number, because 18109354041 - 2⁵ = 18109354009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18109353987 and 18109354005.

It is not an unprimeable number, because it can be changed into a prime (18109354049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12514380 + ... + 12515826.

Almost surely, 2^18109354041 is an apocalyptic number.

18109354041 is the 134571-st square number.

18109354041 is the 67286-th centered octagonal number.

It is an amenable number.

18109354041 is a deficient number, since it is larger than the sum of its proper divisors (8938318572).

18109354041 is an frugal number, since it uses more digits than its factorization.

18109354041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 1481 counting only the distinct ones).

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

Multiplying 18109354041 by its sum of digits (36), we get a square (651936745476 = 807426²).

The spelling of 18109354041 in words is "eighteen billion, one hundred nine million, three hundred fifty-four thousand, forty-one".