13673826082048 has 144 divisors (see below), whose sum is σ = 30012316379136. Its totient is φ = 6166008299520.

The previous prime is 13673826082043. The next prime is 13673826082099. The reversal of 13673826082048 is 84028062837631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13673826081983 and 13673826082001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13673826082043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641561440 + ... + 641582752.

It is an arithmetic number, because the mean of its divisors is an integer number (208418863744).

Almost surely, 2^{13673826082048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13673826082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006158189568).

13673826082048 is an abundant number, since it is smaller than the sum of its proper divisors (16338490297088).

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

13673826082048 is a wasteful number, since it uses less digits than its factorization.

13673826082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23140 (or 23126 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 13673826082048 in words is "thirteen trillion, six hundred seventy-three billion, eight hundred twenty-six million, eighty-two thousand, forty-eight".