11311142241344 has 56 divisors (see below), whose sum is σ = 24486488695200. Its totient is φ = 5141336647680.

The previous prime is 11311142241281. The next prime is 11311142241391. The reversal of 11311142241344 is 44314224111311.

It is a super-3 number, since 3×11311142241344³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11311142241344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53806712 + ... + 54016520.

It is an arithmetic number, because the mean of its divisors is an integer number (437258726700).

Almost surely, 2^{11311142241344} is an apocalyptic number.

It is an amenable number.

11311142241344 is an abundant number, since it is smaller than the sum of its proper divisors (13175346453856).

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

11311142241344 is a wasteful number, since it uses less digits than its factorization.

11311142241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286411 (or 286401 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

Adding to 11311142241344 its reverse (44314224111311), we get a palindrome (55625366352655).

The spelling of 11311142241344 in words is "eleven trillion, three hundred eleven billion, one hundred forty-two million, two hundred forty-one thousand, three hundred forty-four".