199856386944 has 576 divisors, whose sum is σ = 637080837120. Its totient is φ = 59993303040.

The previous prime is 199856386937. The next prime is 199856386981. The reversal of 199856386944 is 449683658991.

199856386944 is a `hidden beast` number, since 19 + 9 + 8 + 563 + 8 + 6 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 1196744749 + ... + 1196744915.

It is an arithmetic number, because the mean of its divisors is an integer number (1106043120).

Almost surely, 2^199856386944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199856386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318540418560).

199856386944 is an abundant number, since it is smaller than the sum of its proper divisors (437224450176).

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

199856386944 is a wasteful number, since it uses less digits than its factorization.

199856386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 273 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 199856386944 in words is "one hundred ninety-nine billion, eight hundred fifty-six million, three hundred eighty-six thousand, nine hundred forty-four".