13829048560044 has 36 divisors (see below), whose sum is σ = 34966752457000. Its totient is φ = 4608365382720.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560044 is 44006584092831.

13829048560044 is a `hidden beast` number, since 1 + 3 + 8 + 29 + 0 + 4 + 8 + 5 + 600 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 54766897 + ... + 55018824.

Almost surely, 2^{13829048560044} is an apocalyptic number.

It is an amenable number.

13829048560044 is an abundant number, since it is smaller than the sum of its proper divisors (21137703896956).

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

13829048560044 is a wasteful number, since it uses less digits than its factorization.

13829048560044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109789230 (or 109789225 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 13829048560044 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, forty-four".