19853048616976 has 135 divisors (see below), whose sum is σ = 40481227622199. Its totient is φ = 9431774956800.

The previous prime is 19853048616959. The next prime is 19853048616977. The reversal of 19853048616976 is 67961684035891.

The square root of 19853048616976 is 4455676.

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

It can be written as a sum of positive squares in 4 ways, for example, as 123816719376 + 19729231897600 = 351876^2 + 4441760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19853048616899 and 19853048616908.

It is not an unprimeable number, because it can be changed into a prime (19853048616977) by changing a digit.

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, 36696947266 + ... + 36696947806.

Almost surely, 2^{19853048616976} is an apocalyptic number.

19853048616976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19853048616976 is the 4455676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19853048616976

19853048616976 is an abundant number, since it is smaller than the sum of its proper divisors (20628179005223).

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

19853048616976 is an frugal number, since it uses more digits than its factorization.

19853048616976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 73.

The spelling of 19853048616976 in words is "nineteen trillion, eight hundred fifty-three billion, forty-eight million, six hundred sixteen thousand, nine hundred seventy-six".