19983081419536 has 135 divisors (see below), whose sum is σ = 41268436474773. Its totient is φ = 9372492380160.

The previous prime is 19983081419519. The next prime is 19983081419579. The reversal of 19983081419536 is 63591418038991.

It is a happy number.

The square root of 19983081419536 is 4470244.

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., 12211921637136 + 7771159782400 = 3494556^2 + 2787680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44505749040 + ... + 44505749488.

Almost surely, 2^{19983081419536} is an apocalyptic number.

19983081419536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19983081419536 is the 4470244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19983081419536

19983081419536 is an abundant number, since it is smaller than the sum of its proper divisors (21285355055237).

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

19983081419536 is an frugal number, since it uses more digits than its factorization.

19983081419536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 67.

The spelling of 19983081419536 in words is "nineteen trillion, nine hundred eighty-three billion, eighty-one million, four hundred nineteen thousand, five hundred thirty-six".