1819980002016 has 144 divisors (see below), whose sum is σ = 5840766837360. Its totient is φ = 532491509760.

The previous prime is 1819980001981. The next prime is 1819980002069. The reversal of 1819980002016 is 6102000899181.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9813105 + ... + 9996848.

It is an arithmetic number, because the mean of its divisors is an integer number (40560880815).

Almost surely, 2^{1819980002016} is an apocalyptic number.

1819980002016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1819980002016 is an abundant number, since it is smaller than the sum of its proper divisors (4020786835344).

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

1819980002016 is a wasteful number, since it uses less digits than its factorization.

1819980002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19810009 (or 19809998 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 1819980002016 in words is "one trillion, eight hundred nineteen billion, nine hundred eighty million, two thousand, sixteen".