18589480648704 has 513 divisors, whose sum is σ = 62626828210401. Its totient is φ = 5298035097600.

The previous prime is 18589480648667. The next prime is 18589480648729. The reversal of 18589480648704 is 40784608498581.

It is a happy number.

The square root of 18589480648704 is 4311552.

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

18589480648704 is a `hidden beast` number, since 1 + 8 + 5 + 8 + 9 + 480 + 64 + 87 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18404511842304 + 184968806400 = 4290048^2 + 430080^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46357806904 + ... + 46357807304.

Almost surely, 2^{18589480648704} is an apocalyptic number.

18589480648704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18589480648704 is the 4311552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18589480648704

18589480648704 is an abundant number, since it is smaller than the sum of its proper divisors (44037347561697).

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

18589480648704 is an frugal number, since it uses more digits than its factorization.

18589480648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 18589480648704 in words is "eighteen trillion, five hundred eighty-nine billion, four hundred eighty million, six hundred forty-eight thousand, seven hundred four".