1983331422864 has 405 divisors, whose sum is σ = 6261196610851. Its totient is φ = 585630798720.

The previous prime is 1983331422857. The next prime is 1983331422889. The reversal of 1983331422864 is 4682241333891.

The square root of 1983331422864 is 1408308.

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

1983331422864 is a `hidden beast` number, since 1 + 9 + 83 + 331 + 4 + 228 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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 1983331422864.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8737142719 + ... + 8737142945.

Almost surely, 2^{1983331422864} is an apocalyptic number.

1983331422864 is the 1408308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983331422864

1983331422864 is an abundant number, since it is smaller than the sum of its proper divisors (4277865187987).

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

1983331422864 is a wasteful number, since it uses less digits than its factorization.

1983331422864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 290 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 1983331422864 in words is "one trillion, nine hundred eighty-three billion, three hundred thirty-one million, four hundred twenty-two thousand, eight hundred sixty-four".