11551543632144 has 120 divisors (see below), whose sum is σ = 32898653311992. Its totient is φ = 3782989578240.

The previous prime is 11551543632091. The next prime is 11551543632191. The reversal of 11551543632144 is 44123634515511.

11551543632144 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 5 + 4 + 3 + 632 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2337963321600 + 9213580310544 = 1529040^2 + 3035388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11551543632144.

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 23 ways as a sum of consecutive naturals, for example, 563664 + ... + 4839504.

Almost surely, 2^{11551543632144} 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 11551543632144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16449326655996).

11551543632144 is an abundant number, since it is smaller than the sum of its proper divisors (21347109679848).

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

11551543632144 is a wasteful number, since it uses less digits than its factorization.

11551543632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276185 (or 4276176 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 11551543632144 in words is "eleven trillion, five hundred fifty-one billion, five hundred forty-three million, six hundred thirty-two thousand, one hundred forty-four".