11312341344 has 144 divisors (see below), whose sum is σ = 34726255200. Its totient is φ = 3482400768.

The previous prime is 11312341333. The next prime is 11312341361. The reversal of 11312341344 is 44314321311.

11312341344 is a `hidden beast` number, since 1 + 1 + 312 + 3 + 4 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162652 + ... + 221540.

It is an arithmetic number, because the mean of its divisors is an integer number (241154550).

Almost surely, 2^11312341344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363127600).

11312341344 is an abundant number, since it is smaller than the sum of its proper divisors (23413913856).

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

11312341344 is a wasteful number, since it uses less digits than its factorization.

11312341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58957 (or 58946 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11312341344 its reverse (44314321311), we get a palindrome (55626662655).

The spelling of 11312341344 in words is "eleven billion, three hundred twelve million, three hundred forty-one thousand, three hundred forty-four".