19282883347984 has 45 divisors (see below), whose sum is σ = 37576597823373. Its totient is φ = 9586015594176.

The previous prime is 19282883347963. The next prime is 19282883347999. The reversal of 19282883347984 is 48974338828291.

The square root of 19282883347984 is 4391228.

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., 18671559523600 + 611323824384 = 4321060^2 + 781872^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19282883347984.

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, 3144116182 + ... + 3144122314.

Almost surely, 2^{19282883347984} is an apocalyptic number.

19282883347984 is the 4391228-th square number.

It is an amenable number.

19282883347984 is a deficient number, since it is larger than the sum of its proper divisors (18293714475389).

19282883347984 is an frugal number, since it uses more digits than its factorization.

19282883347984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 6314 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 76.

The spelling of 19282883347984 in words is "nineteen trillion, two hundred eighty-two billion, eight hundred eighty-three million, three hundred forty-seven thousand, nine hundred eighty-four".