13541252653824 has 432 divisors, whose sum is σ = 45069022656000. Its totient is φ = 3587307429888.

The previous prime is 13541252653813. The next prime is 13541252653849. The reversal of 13541252653824 is 42835625214531.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 33403902 + ... + 33806850.

Almost surely, 2^{13541252653824} is an apocalyptic number.

13541252653824 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 13541252653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534511328000).

13541252653824 is an abundant number, since it is smaller than the sum of its proper divisors (31527770002176).

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

13541252653824 is a wasteful number, since it uses less digits than its factorization.

13541252653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403048 (or 403027 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The spelling of 13541252653824 in words is "thirteen trillion, five hundred forty-one billion, two hundred fifty-two million, six hundred fifty-three thousand, eight hundred twenty-four".