199706217984 has 960 divisors, whose sum is σ = 760711311360. Its totient is φ = 50881167360.

The previous prime is 199706217973. The next prime is 199706218003. The reversal of 199706217984 is 489712607991.

199706217984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 350977252 + ... + 350977820.

It is an arithmetic number, because the mean of its divisors is an integer number (792407616).

Almost surely, 2^199706217984 is an apocalyptic number.

199706217984 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 199706217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380355655680).

199706217984 is an abundant number, since it is smaller than the sum of its proper divisors (561005093376).

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

199706217984 is an equidigital number, since it uses as much as digits as its factorization.

199706217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 199706217984 in words is "one hundred ninety-nine billion, seven hundred six million, two hundred seventeen thousand, nine hundred eighty-four".