195918201468 has 120 divisors (see below), whose sum is σ = 561852910080. Its totient is φ = 59037288480.

The previous prime is 195918201463. The next prime is 195918201509. The reversal of 195918201468 is 864102819591.

195918201468 is a `hidden beast` number, since 1 + 9 + 591 + 8 + 2 + 0 + 1 + 46 + 8 = 666.

195918201468 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195918201463) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 484405 + ... + 791507.

It is an arithmetic number, because the mean of its divisors is an integer number (4682107584).

Almost surely, 2^195918201468 is an apocalyptic number.

195918201468 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 195918201468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280926455040).

195918201468 is an abundant number, since it is smaller than the sum of its proper divisors (365934708612).

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

195918201468 is a wasteful number, since it uses less digits than its factorization.

195918201468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307309 (or 307298 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

It can be divided in two parts, 195918 and 201468, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 195918201468 in words is "one hundred ninety-five billion, nine hundred eighteen million, two hundred one thousand, four hundred sixty-eight".