1998459216000 has 1536 divisors, whose sum is σ = 8441214163200. Its totient is φ = 465813504000.

The previous prime is 1998459215989. The next prime is 1998459216001. The reversal of 1998459216000 is 6129548991.

1998459216000 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 4 + 5 + 9 + 21 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1998459216001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 960334960 + ... + 960337040.

Almost surely, 2^{1998459216000} is an apocalyptic number.

1998459216000 is a gapful number since it is divisible by the number (10) 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 1998459216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220607081600).

1998459216000 is an abundant number, since it is smaller than the sum of its proper divisors (6442754947200).

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

1998459216000 is a wasteful number, since it uses less digits than its factorization.

1998459216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1998459216000 in words is "one trillion, nine hundred ninety-eight billion, four hundred fifty-nine million, two hundred sixteen thousand".