14248555584241 has 24 divisors (see below), whose sum is σ = 15675602120640. Its totient is φ = 12941686195680.

The previous prime is 14248555584229. The next prime is 14248555584247.

It is a happy number.

14248555584241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14248555584241 - 2¹³ = 14248555576049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14248555584247) 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 in 23 ways as a sum of consecutive naturals, for example, 779921655 + ... + 779939923.

It is an arithmetic number, because the mean of its divisors is an integer number (653150088360).

Almost surely, 2^{14248555584241} is an apocalyptic number.

14248555584241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14248555584241 is a deficient number, since it is larger than the sum of its proper divisors (1427046536399).

14248555584241 is a wasteful number, since it uses less digits than its factorization.

14248555584241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23685 (or 23674 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 58.

The spelling of 14248555584241 in words is "fourteen trillion, two hundred forty-eight billion, five hundred fifty-five million, five hundred eighty-four thousand, two hundred forty-one".