11582838869449 has 9 divisors (see below), whose sum is σ = 11597768182773. Its totient is φ = 11567928762432.

The previous prime is 11582838869411. The next prime is 11582838869477. The reversal of 11582838869449 is 94496883828511.

The square root of 11582838869449 is 3403357.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2506284765625 + 9076554103824 = 1583125^2 + 3012732^2 .

It is not a de Polignac number, because 11582838869449 - 2¹³ = 11582838861257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11582838809449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3433985527 + ... + 3433988899.

It is an arithmetic number, because the mean of its divisors is an integer number (1288640909197).

Almost surely, 2^{11582838869449} is an apocalyptic number.

11582838869449 is the 3403357-th square number.

11582838869449 is the 1701679-th centered octagonal number.

It is an amenable number.

11582838869449 is a deficient number, since it is larger than the sum of its proper divisors (14929313324).

11582838869449 is an frugal number, since it uses more digits than its factorization.

11582838869449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 4382 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 76.

The spelling of 11582838869449 in words is "eleven trillion, five hundred eighty-two billion, eight hundred thirty-eight million, eight hundred sixty-nine thousand, four hundred forty-nine".