11238544144 has 45 divisors (see below), whose sum is σ = 23145734197. Its totient is φ = 5285334272.

The previous prime is 11238544129. The next prime is 11238544171. The reversal of 11238544144 is 44144583211.

The square root of 11238544144 is 106012.

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

11238544144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8749731600 + 2488812544 = 93540^2 + 49888^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 7208037 + ... + 7209595.

Almost surely, 2^11238544144 is an apocalyptic number.

11238544144 is the 106012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11238544144

11238544144 is an abundant number, since it is smaller than the sum of its proper divisors (11907190053).

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

11238544144 is an frugal number, since it uses more digits than its factorization.

11238544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 1578 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The spelling of 11238544144 in words is "eleven billion, two hundred thirty-eight million, five hundred forty-four thousand, one hundred forty-four".