199723196848000 has 1024 divisors, whose sum is σ = 612920845555200. Its totient is φ = 63164841984000.

The previous prime is 199723196847947. The next prime is 199723196848009. The reversal of 199723196848000 is 848691327991.

It is a happy number.

199723196848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199723196848009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34030189066 + ... + 34030194934.

Almost surely, 2^{199723196848000} is an apocalyptic number.

199723196848000 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 199723196848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306460422777600).

199723196848000 is an abundant number, since it is smaller than the sum of its proper divisors (413197648707200).

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

199723196848000 is a wasteful number, since it uses less digits than its factorization.

199723196848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 67.

The spelling of 199723196848000 in words is "one hundred ninety-nine trillion, seven hundred twenty-three billion, one hundred ninety-six million, eight hundred forty-eight thousand".