11544124032 has 144 divisors (see below), whose sum is σ = 38643187050. Its totient is φ = 3298305024.

The previous prime is 11544124019. The next prime is 11544124049. The reversal of 11544124032 is 23042144511.

It can be written as a sum of positive squares in only one way, i.e., 11452424256 + 91699776 = 107016^2 + 9576^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11544123987 and 11544124005.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45807 + ... + 158702.

Almost surely, 2^11544124032 is an apocalyptic number.

11544124032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11544124032 is an abundant number, since it is smaller than the sum of its proper divisors (27099063018).

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

11544124032 is a wasteful number, since it uses less digits than its factorization.

11544124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204543 (or 204521 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11544124032 its reverse (23042144511), we get a palindrome (34586268543).

The spelling of 11544124032 in words is "eleven billion, five hundred forty-four million, one hundred twenty-four thousand, thirty-two".