191334372768 has 1728 divisors, whose sum is σ = 786784078080. Its totient is φ = 42918543360.

The previous prime is 191334372763. The next prime is 191334372809. The reversal of 191334372768 is 867273433191.

191334372768 is a `hidden beast` number, since 1 + 9 + 1 + 334 + 37 + 276 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (191334372763) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 4449636555 + ... + 4449636597.

It is an arithmetic number, because the mean of its divisors is an integer number (455314860).

Almost surely, 2^191334372768 is an apocalyptic number.

191334372768 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 191334372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393392039040).

191334372768 is an abundant number, since it is smaller than the sum of its proper divisors (595449705312).

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

191334372768 is a wasteful number, since it uses less digits than its factorization.

191334372768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 191334372768 in words is "one hundred ninety-one billion, three hundred thirty-four million, three hundred seventy-two thousand, seven hundred sixty-eight".