1831591409769 has 27 divisors (see below), whose sum is σ = 2908079676957. Its totient is φ = 1110028332600.

The previous prime is 1831591409749. The next prime is 1831591409797. The reversal of 1831591409769 is 9679041951381.

The square root of 1831591409769 is 1353363.

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

1831591409769 is a `hidden beast` number, since 1 + 8 + 3 + 159 + 1 + 409 + 76 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1831591409769 is a prime.

It is a super-2 number, since 2×1831591409769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1831591409749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44640474 + ... + 44681484.

Almost surely, 2^{1831591409769} is an apocalyptic number.

1831591409769 is the 1353363-rd square number.

1831591409769 is the 676682-nd centered octagonal number.

It is an amenable number.

1831591409769 is a deficient number, since it is larger than the sum of its proper divisors (1076488267188).

1831591409769 is an frugal number, since it uses more digits than its factorization.

1831591409769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82050 (or 41025 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 1831591409769 in words is "one trillion, eight hundred thirty-one billion, five hundred ninety-one million, four hundred nine thousand, seven hundred sixty-nine".