199623728942112 has 192 divisors, whose sum is σ = 540419415943680. Its totient is φ = 64491547852800.

The previous prime is 199623728942063. The next prime is 199623728942237. The reversal of 199623728942112 is 211249827326991.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443935312 + ... + 444384752.

It is an arithmetic number, because the mean of its divisors is an integer number (2814684458040).

Almost surely, 2^{199623728942112} is an apocalyptic number.

199623728942112 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 199623728942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270209707971840).

199623728942112 is an abundant number, since it is smaller than the sum of its proper divisors (340795687001568).

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

199623728942112 is a wasteful number, since it uses less digits than its factorization.

199623728942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450627 (or 450619 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 199623728942112 in words is "one hundred ninety-nine trillion, six hundred twenty-three billion, seven hundred twenty-eight million, nine hundred forty-two thousand, one hundred twelve".