1782136891089 has 27 divisors (see below), whose sum is σ = 2583282933777. Its totient is φ = 1183912814016.

The previous prime is 1782136890959. The next prime is 1782136891091. The reversal of 1782136891089 is 9801986312871.

The square root of 1782136891089 is 1334967.

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

1782136891089 is a `hidden beast` number, since 178 + 21 + 368 + 9 + 1 + 0 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5834362689 + 1776302528400 = 76383^2 + 1332780^2 .

It is not a de Polignac number, because 1782136891089 - 2¹⁵ = 1782136858321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1782136891189) 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, 1493827477 + ... + 1493828669.

Almost surely, 2^{1782136891089} is an apocalyptic number.

1782136891089 is the 1334967-th square number.

1782136891089 is the 667484-th centered octagonal number.

It is an amenable number.

1782136891089 is a deficient number, since it is larger than the sum of its proper divisors (801146042688).

1782136891089 is an frugal number, since it uses more digits than its factorization.

1782136891089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

It can be divided in two parts, 1782136 and 891089, that added together give a square (2673225 = 1635²).

The spelling of 1782136891089 in words is "one trillion, seven hundred eighty-two billion, one hundred thirty-six million, eight hundred ninety-one thousand, eighty-nine".