13524434144001 has 48 divisors (see below), whose sum is σ = 22462063940160. Its totient is φ = 7764663903360.

The previous prime is 13524434143939. The next prime is 13524434144003. The reversal of 13524434144001 is 10044143442531.

It is a happy number.

13524434144001 is a `hidden beast` number, since 1 + 3 + 5 + 244 + 3 + 4 + 1 + 4 + 400 + 1 = 666.

It is not a de Polignac number, because 13524434144001 - 2¹⁰ = 13524434142977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13524434144003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44288451 + ... + 44592776.

It is an arithmetic number, because the mean of its divisors is an integer number (467959665420).

Almost surely, 2^{13524434144001} is an apocalyptic number.

13524434144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13524434144001 is a deficient number, since it is larger than the sum of its proper divisors (8937629796159).

13524434144001 is a wasteful number, since it uses less digits than its factorization.

13524434144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88881326 (or 88881323 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13524434144001 its reverse (10044143442531), we get a palindrome (23568577586532).

The spelling of 13524434144001 in words is "thirteen trillion, five hundred twenty-four billion, four hundred thirty-four million, one hundred forty-four thousand, one".