13504400000001 has 64 divisors (see below), whose sum is σ = 20996824320000. Its totient is φ = 8561830559040.

The previous prime is 13504399999999. The next prime is 13504400000009. The reversal of 13504400000001 is 10000000440531.

It is a happy number.

It is not a de Polignac number, because 13504400000001 - 2¹ = 13504399999999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13504400000001.

It is not an unprimeable number, because it can be changed into a prime (13504400000009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1105914786 + ... + 1105926996.

It is an arithmetic number, because the mean of its divisors is an integer number (328075380000).

Almost surely, 2^{13504400000001} is an apocalyptic number.

It is an amenable number.

13504400000001 is a deficient number, since it is larger than the sum of its proper divisors (7492424319999).

13504400000001 is a wasteful number, since it uses less digits than its factorization.

13504400000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22371 (or 22365 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13504400000001 its reverse (10000000440531), we get a palindrome (23504400440532).

The spelling of 13504400000001 in words is "thirteen trillion, five hundred four billion, four hundred million, one", and thus it is an aban number.