18684259697664 has 704 divisors, whose sum is σ = 61029709977600. Its totient is φ = 5599825920000.

The previous prime is 18684259697629. The next prime is 18684259697687. The reversal of 18684259697664 is 46679695248681.

18684259697664 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 425 + 9 + 69 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11984771317 + ... + 11984772875.

Almost surely, 2^{18684259697664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18684259697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30514854988800).

18684259697664 is an abundant number, since it is smaller than the sum of its proper divisors (42345450279936).

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

18684259697664 is a wasteful number, since it uses less digits than its factorization.

18684259697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1983 counting only the distinct ones).

The product of its digits is 7524679680, while the sum is 81.

The spelling of 18684259697664 in words is "eighteen trillion, six hundred eighty-four billion, two hundred fifty-nine million, six hundred ninety-seven thousand, six hundred sixty-four".