13546416241 has 2 divisors, whose sum is σ = 13546416242. Its totient is φ = 13546416240.

The previous prime is 13546416211. The next prime is 13546416271. The reversal of 13546416241 is 14261464531.

It is a balanced prime because it is at equal distance from previous prime (13546416211) and next prime (13546416271).

It can be written as a sum of positive squares in only one way, i.e., 6776582400 + 6769833841 = 82320^2 + 82279^2 .

It is a cyclic number.

It is not a de Polignac number, because 13546416241 - 2²⁵ = 13512861809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13546416241.

It is not a weakly prime, because it can be changed into another prime (13546416211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6773208120 + 6773208121.

It is an arithmetic number, because the mean of its divisors is an integer number (6773208121).

Almost surely, 2^13546416241 is an apocalyptic number.

It is an amenable number.

13546416241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13546416241 is an equidigital number, since it uses as much as digits as its factorization.

13546416241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 37.

The spelling of 13546416241 in words is "thirteen billion, five hundred forty-six million, four hundred sixteen thousand, two hundred forty-one".