11300979826249 has 9 divisors (see below), whose sum is σ = 11344054820917. Its totient is φ = 11258067815104.

The previous prime is 11300979826243. The next prime is 11300979826307. The reversal of 11300979826249 is 94262897900311.

The square root of 11300979826249 is 3361693.

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 2518457911225 + 8782521915024 = 1586965^2 + 2963532^2 .

It is not a de Polignac number, because 11300979826249 - 2¹³ = 11300979818057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11300979826243) 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 8 ways as a sum of consecutive naturals, for example, 904289169 + ... + 904301665.

Almost surely, 2^{11300979826249} is an apocalyptic number.

11300979826249 is the 3361693-rd square number.

11300979826249 is the 1680847-th centered octagonal number.

It is an amenable number.

11300979826249 is a deficient number, since it is larger than the sum of its proper divisors (43074994668).

11300979826249 is an frugal number, since it uses more digits than its factorization.

11300979826249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25532 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 11300979826249 in words is "eleven trillion, three hundred billion, nine hundred seventy-nine million, eight hundred twenty-six thousand, two hundred forty-nine".