191016645768 has 512 divisors, whose sum is σ = 627492096000. Its totient is φ = 53325941760.

The previous prime is 191016645763. The next prime is 191016645769. The reversal of 191016645768 is 867546610191.

191016645768 is a `hidden beast` number, since 1 + 9 + 1 + 0 + 1 + 6 + 64 + 576 + 8 = 666.

191016645768 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 not an unprimeable number, because it can be changed into a prime (191016645763) 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 127 ways as a sum of consecutive naturals, for example, 121588423 + ... + 121589993.

It is an arithmetic number, because the mean of its divisors is an integer number (1225570500).

Almost surely, 2^191016645768 is an apocalyptic number.

191016645768 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 191016645768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313746048000).

191016645768 is an abundant number, since it is smaller than the sum of its proper divisors (436475450232).

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

191016645768 is a wasteful number, since it uses less digits than its factorization.

191016645768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 191016645768 in words is "one hundred ninety-one billion, sixteen million, six hundred forty-five thousand, seven hundred sixty-eight".