191709272664 has 1152 divisors, whose sum is σ = 722787287040. Its totient is φ = 47076277248.

The previous prime is 191709272647. The next prime is 191709272669. The reversal of 191709272664 is 466272907191.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 191709272664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191709272669) 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, 1509521769 + ... + 1509521895.

It is an arithmetic number, because the mean of its divisors is an integer number (627419520).

Almost surely, 2^191709272664 is an apocalyptic number.

191709272664 is a gapful number since it is divisible by the number (14) 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 191709272664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361393643520).

191709272664 is an abundant number, since it is smaller than the sum of its proper divisors (531078014376).

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

191709272664 is a wasteful number, since it uses less digits than its factorization.

191709272664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 191709272664 in words is "one hundred ninety-one billion, seven hundred nine million, two hundred seventy-two thousand, six hundred sixty-four".