17984955664 has 45 divisors (see below), whose sum is σ = 37747126533. Its totient is φ = 8297530176.

The previous prime is 17984955643. The next prime is 17984955689. The reversal of 17984955664 is 46655948971.

The square root of 17984955664 is 134108.

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

It can be written as a sum of positive squares in only one way, i.e., 2660496400 + 15324459264 = 51580^2 + 123792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17984955596 and 17984955605.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6972327 + ... + 6974905.

Almost surely, 2^17984955664 is an apocalyptic number.

17984955664 is the 134108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17984955664

17984955664 is an abundant number, since it is smaller than the sum of its proper divisors (19762170869).

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

17984955664 is an frugal number, since it uses more digits than its factorization.

17984955664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 2594 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

Multiplying 17984955664 by its sum of digits (64), we get a square (1151037162496 = 1072864²).

The spelling of 17984955664 in words is "seventeen billion, nine hundred eighty-four million, nine hundred fifty-five thousand, six hundred sixty-four".