13444634998080 has 2688 divisors, whose sum is σ = 60965930188800. Its totient is φ = 2664293990400.

The previous prime is 13444634998013. The next prime is 13444634998117. The reversal of 13444634998080 is 8089943644431.

It is a happy number.

13444634998080 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 63 + 499 + 8 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13444634997999 and 13444634998017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28068131281 + ... + 28068131759.

It is an arithmetic number, because the mean of its divisors is an integer number (22680777600).

Almost surely, 2^{13444634998080} is an apocalyptic number.

13444634998080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444634998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30482965094400).

13444634998080 is an abundant number, since it is smaller than the sum of its proper divisors (47521295190720).

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

13444634998080 is a wasteful number, since it uses less digits than its factorization.

13444634998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 13444634998080 in words is "thirteen trillion, four hundred forty-four billion, six hundred thirty-four million, nine hundred ninety-eight thousand, eighty".