11421312144 has 160 divisors (see below), whose sum is σ = 34125434880. Its totient is φ = 3258662400.

The previous prime is 11421312143. The next prime is 11421312151. The reversal of 11421312144 is 44121312411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (11421312143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596187 + ... + 615045.

It is an arithmetic number, because the mean of its divisors is an integer number (213283968).

Almost surely, 2^11421312144 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 11421312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062717440).

11421312144 is an abundant number, since it is smaller than the sum of its proper divisors (22704122736).

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

11421312144 is a wasteful number, since it uses less digits than its factorization.

11421312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18943 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11421312144 its reverse (44121312411), we get a palindrome (55542624555).

The spelling of 11421312144 in words is "eleven billion, four hundred twenty-one million, three hundred twelve thousand, one hundred forty-four".