11100097449 has 81 divisors (see below), whose sum is σ = 19428807333. Its totient is φ = 6088791744.

The previous prime is 11100097447. The next prime is 11100097501. The reversal of 11100097449 is 94479000111.

The square root of 11100097449 is 105357.

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

11100097449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2593355625 + 8506741824 = 50925^2 + 92232^2 .

It is not a de Polignac number, because 11100097449 - 2¹ = 11100097447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11100097447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64162327 + ... + 64162499.

Almost surely, 2^11100097449 is an apocalyptic number.

11100097449 is the 105357-th square number.

11100097449 is the 52679-th centered octagonal number.

It is an amenable number.

11100097449 is a deficient number, since it is larger than the sum of its proper divisors (8328709884).

11100097449 is an equidigital number, since it uses as much as digits as its factorization.

11100097449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 11100097449 by its sum of digits (36), we get a square (399603508164 = 632142²).

The spelling of 11100097449 in words is "eleven billion, one hundred million, ninety-seven thousand, four hundred forty-nine".