13829048560046 has 8 divisors (see below), whose sum is σ = 20744650542000. Its totient is φ = 6914165046048.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560046 is 64006584092831.

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

It is a super-2 number, since 2×13829048560046² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13829048559973 and 13829048560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179568866 + ... + 179645861.

It is an arithmetic number, because the mean of its divisors is an integer number (2593081317750).

Almost surely, 2^{13829048560046} is an apocalyptic number.

13829048560046 is a deficient number, since it is larger than the sum of its proper divisors (6915601981954).

13829048560046 is a wasteful number, since it uses less digits than its factorization.

13829048560046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359233978.

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 13829048560046 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, forty-six".