11523526045344 has 144 divisors (see below), whose sum is σ = 33870905961984. Its totient is φ = 3712455360000.

The previous prime is 11523526045321. The next prime is 11523526045391. The reversal of 11523526045344 is 44354062532511.

11523526045344 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 3 + 5 + 2 + 604 + 5 + 34 + 4 = 666.

11523526045344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11523526045344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6066469 + ... + 7736219.

It is an arithmetic number, because the mean of its divisors is an integer number (235214624736).

Almost surely, 2^{11523526045344} 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 11523526045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935452980992).

11523526045344 is an abundant number, since it is smaller than the sum of its proper divisors (22347379916640).

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

11523526045344 is a wasteful number, since it uses less digits than its factorization.

11523526045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670571 (or 1670560 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 11523526045344 its reverse (44354062532511), we get a palindrome (55877588577855).

The spelling of 11523526045344 in words is "eleven trillion, five hundred twenty-three billion, five hundred twenty-six million, forty-five thousand, three hundred forty-four".