13082438322144 has 480 divisors, whose sum is σ = 42936638976000. Its totient is φ = 3889957063680.

The previous prime is 13082438322097. The next prime is 13082438322203. The reversal of 13082438322144 is 44122383428031.

13082438322144 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 4 + 383 + 221 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13082438322144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56371657 + ... + 56603255.

It is an arithmetic number, because the mean of its divisors is an integer number (89451331200).

Almost surely, 2^{13082438322144} 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 13082438322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468319488000).

13082438322144 is an abundant number, since it is smaller than the sum of its proper divisors (29854200653856).

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

13082438322144 is a wasteful number, since it uses less digits than its factorization.

13082438322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231708 (or 231691 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 13082438322144 in words is "thirteen trillion, eighty-two billion, four hundred thirty-eight million, three hundred twenty-two thousand, one hundred forty-four".