199341648 has 240 divisors, whose sum is σ = 649958400. Its totient is φ = 58631040.

The previous prime is 199341647. The next prime is 199341661. The reversal of 199341648 is 846143991.

199341648 is a `hidden beast` number, since 199 + 3 + 416 + 48 = 666.

199341648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199341647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2523273 + ... + 2523351.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^199341648 is an apocalyptic number.

199341648 is a gapful number since it is divisible by the number (18) 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 199341648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

199341648 is an abundant number, since it is smaller than the sum of its proper divisors (450616752).

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

199341648 is a wasteful number, since it uses less digits than its factorization.

199341648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 199341648 is about 14118.8401789949. The cubic root of 199341648 is about 584.1611646272.

The spelling of 199341648 in words is "one hundred ninety-nine million, three hundred forty-one thousand, six hundred forty-eight".