191741569138084 has 243 divisors, whose sum is σ = 420928308651753. Its totient is φ = 76185958496256.

The previous prime is 191741569138019. The next prime is 191741569138109. The reversal of 191741569138084 is 480831965147191.

The square root of 191741569138084 is 13847078.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 34371368544100 + 157370200593984 = 5862710^2 + 12544728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 240579132774 + ... + 240579133570.

Almost surely, 2^{191741569138084} is an apocalyptic number.

191741569138084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

191741569138084 is the 13847078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191741569138084

191741569138084 is an abundant number, since it is smaller than the sum of its proper divisors (229186739513669).

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

191741569138084 is an frugal number, since it uses more digits than its factorization.

191741569138084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 67.

The spelling of 191741569138084 in words is "one hundred ninety-one trillion, seven hundred forty-one billion, five hundred sixty-nine million, one hundred thirty-eight thousand, eighty-four".