18666132666624 has 567 divisors, whose sum is σ = 57055649532483. Its totient is φ = 6092016500736.

The previous prime is 18666132666611. The next prime is 18666132666631. The reversal of 18666132666624 is 42666623166681.

The square root of 18666132666624 is 4320432.

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

It can be written as a sum of positive squares in 4 ways, for example, as 448942881024 + 18217189785600 = 670032^2 + 4268160^2 .

It is a super-2 number, since 2×18666132666624² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 136249143484 + ... + 136249143620.

Almost surely, 2^{18666132666624} is an apocalyptic number.

18666132666624 is the 4320432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18666132666624

18666132666624 is an abundant number, since it is smaller than the sum of its proper divisors (38389516865859).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18666132666624 is an frugal number, since it uses more digits than its factorization.

18666132666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 215 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 18666132666624 in words is "eighteen trillion, six hundred sixty-six billion, one hundred thirty-two million, six hundred sixty-six thousand, six hundred twenty-four".