191004835681 has 27 divisors (see below), whose sum is σ = 213487789683. Its totient is φ = 170760659520.

The previous prime is 191004835669. The next prime is 191004835699. The reversal of 191004835681 is 186538400191.

The square root of 191004835681 is 437041.

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

It can be written as a sum of positive squares in only one way, i.e., 117446717025 + 73558118656 = 342705^2 + 271216^2 .

It is not a de Polignac number, because 191004835681 - 2¹⁵ = 191004802913 is a prime.

It is a super-2 number, since 2×191004835681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191004835381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 322098921 + ... + 322099513.

Almost surely, 2^191004835681 is an apocalyptic number.

191004835681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

191004835681 is the 437041-st square number.

191004835681 is the 218521-st centered octagonal number.

It is an amenable number.

191004835681 is a deficient number, since it is larger than the sum of its proper divisors (22482954002).

191004835681 is an frugal number, since it uses more digits than its factorization.

191004835681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 191004835681 in words is "one hundred ninety-one billion, four million, eight hundred thirty-five thousand, six hundred eighty-one".