199971144 has 48 divisors (see below), whose sum is σ = 544864320. Its totient is φ = 66253920.

The previous prime is 199971137. The next prime is 199971151. The reversal of 199971144 is 441179991.

199971144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199971137) and next prime (199971151).

It is a super-4 number, since 4×199971144⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 199971144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3709 + ... + 20339.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^199971144 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 199971144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

199971144 is an abundant number, since it is smaller than the sum of its proper divisors (344893176).

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

199971144 is a wasteful number, since it uses less digits than its factorization.

199971144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16803 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 199971144 is about 14141.1153732653. The cubic root of 199971144 is about 584.7754211379.

The spelling of 199971144 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand, one hundred forty-four".