1982163998016 has 224 divisors, whose sum is σ = 6153821291520. Its totient is φ = 624378889728.

The previous prime is 1982163997987. The next prime is 1982163998021. The reversal of 1982163998016 is 6108993612891.

1982163998016 is a `hidden beast` number, since 19 + 8 + 216 + 399 + 8 + 0 + 16 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2998311 + ... + 3599193.

It is an arithmetic number, because the mean of its divisors is an integer number (27472416480).

Almost surely, 2^{1982163998016} is an apocalyptic number.

1982163998016 is a gapful number since it is divisible by the number (16) 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 1982163998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076910645760).

1982163998016 is an abundant number, since it is smaller than the sum of its proper divisors (4171657293504).

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

1982163998016 is a wasteful number, since it uses less digits than its factorization.

1982163998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601010 (or 600994 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 1982163998016 in words is "one trillion, nine hundred eighty-two billion, one hundred sixty-three million, nine hundred ninety-eight thousand, sixteen".