11643435234144 has 288 divisors, whose sum is σ = 40231468053504. Its totient is φ = 3122017367040.

The previous prime is 11643435234139. The next prime is 11643435234187. The reversal of 11643435234144 is 44143253434611.

11643435234144 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 43 + 523 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 11643435234144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88549 + ... + 4826459.

It is an arithmetic number, because the mean of its divisors is an integer number (139692597408).

Almost surely, 2^{11643435234144} is an apocalyptic number.

11643435234144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11643435234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115734026752).

11643435234144 is an abundant number, since it is smaller than the sum of its proper divisors (28588032819360).

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

11643435234144 is a wasteful number, since it uses less digits than its factorization.

11643435234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738010 (or 4737999 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Adding to 11643435234144 its reverse (44143253434611), we get a palindrome (55786688668755).

The spelling of 11643435234144 in words is "eleven trillion, six hundred forty-three billion, four hundred thirty-five million, two hundred thirty-four thousand, one hundred forty-four".