191271998976 has 240 divisors, whose sum is σ = 524496192000. Its totient is φ = 61930192896.

The previous prime is 191271998927. The next prime is 191271999013. The reversal of 191271998976 is 679899172191.

It is a self number, because there is not a number n which added to its sum of digits gives 191271998976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961165725 + ... + 961165923.

It is an arithmetic number, because the mean of its divisors is an integer number (2185400800).

Almost surely, 2^191271998976 is an apocalyptic number.

191271998976 is a gapful number since it is divisible by the number (16) 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 191271998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262248096000).

191271998976 is an abundant number, since it is smaller than the sum of its proper divisors (333224193024).

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

191271998976 is an frugal number, since it uses more digits than its factorization.

191271998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 372 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 69.

The spelling of 191271998976 in words is "one hundred ninety-one billion, two hundred seventy-one million, nine hundred ninety-eight thousand, nine hundred seventy-six".