13829048560049 has 8 divisors (see below), whose sum is σ = 13854893548008. Its totient is φ = 13803219555840.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560049 is 94006584092831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2692411694449 + 11136636865600 = 1640857^2 + 3337160^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13829048560049 is a prime.

It is a super-3 number, since 3×13829048560049³ (a number of 40 digits) contains 333 as substring.

It is a lonely number, since its distance to closest prime (13829048559701) sets a new record.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13829048560049.

It is not an unprimeable number, because it can be changed into a prime (13829048560549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2263232 + ... + 5725409.

It is an arithmetic number, because the mean of its divisors is an integer number (1731861693501).

Almost surely, 2^{13829048560049} is an apocalyptic number.

It is an amenable number.

13829048560049 is a deficient number, since it is larger than the sum of its proper divisors (25844987959).

13829048560049 is an equidigital number, since it uses as much as digits as its factorization.

13829048560049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991875.

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 13829048560049 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, forty-nine".