11282766794289 has 27 divisors (see below), whose sum is σ = 16879122398593. Its totient is φ = 7262282477184.

The previous prime is 11282766794269. The next prime is 11282766794297. The reversal of 11282766794289 is 98249766728211.

It is a happy number.

The square root of 11282766794289 is 3358983.

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

11282766794289 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 276 + 6 + 79 + 4 + 289 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443000729889 + 10839766064400 = 665583^2 + 3292380^2 .

It is not a de Polignac number, because 11282766794289 - 2¹⁵ = 11282766761521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11282766794269) 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, 292212217 + ... + 292250825.

Almost surely, 2^{11282766794289} is an apocalyptic number.

11282766794289 is the 3358983-rd square number.

11282766794289 is the 1679492-nd centered octagonal number.

It is an amenable number.

11282766794289 is a deficient number, since it is larger than the sum of its proper divisors (5596355604304).

11282766794289 is an frugal number, since it uses more digits than its factorization.

11282766794289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77282 (or 38641 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 11282766794289 in words is "eleven trillion, two hundred eighty-two billion, seven hundred sixty-six million, seven hundred ninety-four thousand, two hundred eighty-nine".