11311161324849 has 27 divisors (see below), whose sum is σ = 16384366371009. Its totient is φ = 7519592738880.

The previous prime is 11311161324787. The next prime is 11311161324899. The reversal of 11311161324849 is 94842316111311.

The square root of 11311161324849 is 3363207.

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

11311161324849 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 1 + 613 + 24 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 848136009249 + 10463025315600 = 920943^2 + 3234660^2 .

It is not a de Polignac number, because 11311161324849 - 2¹⁷ = 11311161193777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11311161324899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4126653619 + ... + 4126656359.

Almost surely, 2^{11311161324849} is an apocalyptic number.

11311161324849 is the 3363207-th square number.

11311161324849 is the 1681604-th centered octagonal number.

It is an amenable number.

11311161324849 is a deficient number, since it is larger than the sum of its proper divisors (5073205046160).

11311161324849 is an frugal number, since it uses more digits than its factorization.

11311161324849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 3153 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 11311161324849 in words is "eleven trillion, three hundred eleven billion, one hundred sixty-one million, three hundred twenty-four thousand, eight hundred forty-nine".