11127718144 has 81 divisors (see below), whose sum is σ = 23510301087. Its totient is φ = 5255834112.

The previous prime is 11127718139. The next prime is 11127718153. The reversal of 11127718144 is 44181772111.

It is a happy number.

The square root of 11127718144 is 105488.

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

It is a super-2 number, since 2×11127718144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 32068179 + ... + 32068525.

Almost surely, 2^11127718144 is an apocalyptic number.

11127718144 is the 105488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11127718144

11127718144 is an abundant number, since it is smaller than the sum of its proper divisors (12382582943).

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

11127718144 is an frugal number, since it uses more digits than its factorization.

11127718144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 368 counting only the distinct ones).

The product of its digits is 12544, while the sum is 37.

Multiplying 11127718144 by its product of digits (12544), we get a square (139586096398336 = 11814656²).

The spelling of 11127718144 in words is "eleven billion, one hundred twenty-seven million, seven hundred eighteen thousand, one hundred forty-four".