18559044936441 has 135 divisors (see below), whose sum is σ = 30308065718007. Its totient is φ = 11315275637760.

The previous prime is 18559044936409. The next prime is 18559044936457. The reversal of 18559044936441 is 14463944095581.

The square root of 18559044936441 is 4308021.

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

18559044936441 is a `hidden beast` number, since 1 + 8 + 5 + 5 + 90 + 449 + 3 + 64 + 41 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8974943464041 + 9584101472400 = 2995821^2 + 3095820^2 .

It is not a de Polignac number, because 18559044936441 - 2⁵ = 18559044936409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18559044936401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24387706501 + ... + 24387707261.

Almost surely, 2^{18559044936441} is an apocalyptic number.

18559044936441 is the 4308021-st square number.

18559044936441 is the 2154011-st centered octagonal number.

It is an amenable number.

18559044936441 is a deficient number, since it is larger than the sum of its proper divisors (11749020781566).

18559044936441 is an frugal number, since it uses more digits than its factorization.

18559044936441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 18559044936441 in words is "eighteen trillion, five hundred fifty-nine billion, forty-four million, nine hundred thirty-six thousand, four hundred forty-one".