11436168913344 has 672 divisors, whose sum is σ = 41507226648576. Its totient is φ = 2935262085120.

The previous prime is 11436168913333. The next prime is 11436168913357. The reversal of 11436168913344 is 44331986163411.

11436168913344 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 616 + 8 + 9 + 13 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 155078209 + ... + 155151935.

Almost surely, 2^{11436168913344} is an apocalyptic number.

11436168913344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11436168913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20753613324288).

11436168913344 is an abundant number, since it is smaller than the sum of its proper divisors (30071057735232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11436168913344 is a wasteful number, since it uses less digits than its factorization.

11436168913344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73873 (or 73860 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 11436168913344 in words is "eleven trillion, four hundred thirty-six billion, one hundred sixty-eight million, nine hundred thirteen thousand, three hundred forty-four".