1982317367184 has 960 divisors, whose sum is σ = 7028529573888. Its totient is φ = 466034688000.

The previous prime is 1982317367117. The next prime is 1982317367221. The reversal of 1982317367184 is 4817637132891.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13127929509 + ... + 13127929659.

Almost surely, 2^{1982317367184} is an apocalyptic number.

1982317367184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982317367184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514264786944).

1982317367184 is an abundant number, since it is smaller than the sum of its proper divisors (5046212206704).

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

1982317367184 is a wasteful number, since it uses less digits than its factorization.

1982317367184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 347 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The spelling of 1982317367184 in words is "one trillion, nine hundred eighty-two billion, three hundred seventeen million, three hundred sixty-seven thousand, one hundred eighty-four".