195356448 has 288 divisors, whose sum is σ = 683190144. Its totient is φ = 53747712.

The previous prime is 195356443. The next prime is 195356459. The reversal of 195356448 is 844653591.

195356448 is a `hidden beast` number, since 19 + 535 + 64 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (195356443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013936 + ... + 2014032.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2^195356448 is an apocalyptic number.

195356448 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 195356448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341595072).

195356448 is an abundant number, since it is smaller than the sum of its proper divisors (487833696).

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

195356448 is an equidigital number, since it uses as much as digits as its factorization.

195356448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 195356448 is about 13976.9971023822. The cubic root of 195356448 is about 580.2421184945.

The spelling of 195356448 in words is "one hundred ninety-five million, three hundred fifty-six thousand, four hundred forty-eight".