197935331328 has 1152 divisors, whose sum is σ = 741808005120. Its totient is φ = 49545216000.

The previous prime is 197935331309. The next prime is 197935331353. The reversal of 197935331328 is 823133539791.

197935331328 is a `hidden beast` number, since 1 + 9 + 7 + 93 + 533 + 13 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2787821533 + ... + 2787821603.

It is an arithmetic number, because the mean of its divisors is an integer number (643930560).

Almost surely, 2^197935331328 is an apocalyptic number.

197935331328 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 197935331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370904002560).

197935331328 is an abundant number, since it is smaller than the sum of its proper divisors (543872673792).

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

197935331328 is a wasteful number, since it uses less digits than its factorization.

197935331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 197935331328 in words is "one hundred ninety-seven billion, nine hundred thirty-five million, three hundred thirty-one thousand, three hundred twenty-eight".