13744290392448 has 1536 divisors, whose sum is σ = 51211498060800. Its totient is φ = 3159569203200.

The previous prime is 13744290392447. The next prime is 13744290392489. The reversal of 13744290392448 is 84429309244731.

It is a junction number, because it is equal to n+sod(n) for n = 13744290392391 and 13744290392400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13744290392447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17872939008 + ... + 17872939776.

It is an arithmetic number, because the mean of its divisors is an integer number (33340819050).

Almost surely, 2^{13744290392448} 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 13744290392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25605749030400).

13744290392448 is an abundant number, since it is smaller than the sum of its proper divisors (37467207668352).

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

13744290392448 is a wasteful number, since it uses less digits than its factorization.

13744290392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 13744290392448 in words is "thirteen trillion, seven hundred forty-four billion, two hundred ninety million, three hundred ninety-two thousand, four hundred forty-eight".