195846048 has 144 divisors (see below), whose sum is σ = 583783200. Its totient is φ = 62200320.

The previous prime is 195846043. The next prime is 195846071. The reversal of 195846048 is 840648591.

195846048 is a `hidden beast` number, since 1 + 9 + 584 + 60 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 195845994 and 195846012.

It is not an unprimeable number, because it can be changed into a prime (195846043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094023 + ... + 1094201.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^195846048 is an apocalyptic number.

195846048 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 195846048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291891600).

195846048 is an abundant number, since it is smaller than the sum of its proper divisors (387937152).

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

195846048 is a wasteful number, since it uses less digits than its factorization.

195846048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 195846048 is about 13994.5006341777. The cubic root of 195846048 is about 580.7264460732.

The spelling of 195846048 in words is "one hundred ninety-five million, eight hundred forty-six thousand, forty-eight".