13829048560042 has 16 divisors (see below), whose sum is σ = 20934256780800. Its totient is φ = 6850965245040.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560042 is 24006584092831.

It is a happy number.

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

It is an unprimeable number.

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, 12258759 + ... + 13339237.

It is an arithmetic number, because the mean of its divisors is an integer number (1308391048800).

Almost surely, 2^{13829048560042} is an apocalyptic number.

13829048560042 is a deficient number, since it is larger than the sum of its proper divisors (7105208220758).

13829048560042 is a wasteful number, since it uses less digits than its factorization.

13829048560042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139301.

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 13829048560042 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, forty-two".