191066874339264 has 672 divisors, whose sum is σ = 643615606652928. Its totient is φ = 48959878809600.

The previous prime is 191066874339239. The next prime is 191066874339293. The reversal of 191066874339264 is 462933478660191.

191066874339264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9812885049 + ... + 9812904519.

It is an arithmetic number, because the mean of its divisors is an integer number (957761319424).

Almost surely, 2^{191066874339264} is an apocalyptic number.

191066874339264 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 191066874339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321807803326464).

191066874339264 is an abundant number, since it is smaller than the sum of its proper divisors (452548732313664).

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

191066874339264 is a wasteful number, since it uses less digits than its factorization.

191066874339264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20325 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 191066874339264 in words is "one hundred ninety-one trillion, sixty-six billion, eight hundred seventy-four million, three hundred thirty-nine thousand, two hundred sixty-four".