195441948000 has 1152 divisors, whose sum is σ = 794009309184. Its totient is φ = 45163008000.

The previous prime is 195441947999. The next prime is 195441948017. The reversal of 195441948000 is 849144591.

It is a happy number.

195441948000 is a `hidden beast` number, since 19 + 544 + 1 + 94 + 8 + 0 + 0 + 0 = 666.

195441948000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 721187865 + ... + 721188135.

It is an arithmetic number, because the mean of its divisors is an integer number (689244192).

Almost surely, 2^195441948000 is an apocalyptic number.

195441948000 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 195441948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397004654592).

195441948000 is an abundant number, since it is smaller than the sum of its proper divisors (598567361184).

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

195441948000 is a wasteful number, since it uses less digits than its factorization.

195441948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 195441948000 in words is "one hundred ninety-five billion, four hundred forty-one million, nine hundred forty-eight thousand".