199984451236992 has 640 divisors, whose sum is σ = 609896063462400. Its totient is φ = 65032322826240.

The previous prime is 199984451236981. The next prime is 199984451236993. The reversal of 199984451236992 is 299632154489991.

199984451236992 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 4 + 4 + 512 + 3 + 6 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (199984451236993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30914272734 + ... + 30914279202.

It is an arithmetic number, because the mean of its divisors is an integer number (952962599160).

Almost surely, 2^{199984451236992} is an apocalyptic number.

199984451236992 is a gapful number since it is divisible by the number (12) 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 199984451236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304948031731200).

199984451236992 is an abundant number, since it is smaller than the sum of its proper divisors (409911612225408).

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

199984451236992 is a wasteful number, since it uses less digits than its factorization.

199984451236992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6965 counting only the distinct ones).

The product of its digits is 2720977920, while the sum is 81.

The spelling of 199984451236992 in words is "one hundred ninety-nine trillion, nine hundred eighty-four billion, four hundred fifty-one million, two hundred thirty-six thousand, nine hundred ninety-two".