19968189342084 has 81 divisors (see below), whose sum is σ = 52766762528389. Its totient is φ = 6366472448160.

The previous prime is 19968189342011. The next prime is 19968189342103. The reversal of 19968189342084 is 48024398186991.

The square root of 19968189342084 is 4468578.

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

19968189342084 is a `hidden beast` number, since 19 + 9 + 6 + 8 + 189 + 3 + 420 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12304815183684 + 7663374158400 = 3507822^2 + 2768280^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 616647574 + ... + 616679954.

Almost surely, 2^{19968189342084} is an apocalyptic number.

19968189342084 is the 4468578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19968189342084

19968189342084 is an abundant number, since it is smaller than the sum of its proper divisors (32798573186305).

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

19968189342084 is an frugal number, since it uses more digits than its factorization.

19968189342084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64818 (or 32409 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 19968189342084 in words is "nineteen trillion, nine hundred sixty-eight billion, one hundred eighty-nine million, three hundred forty-two thousand, eighty-four".