13348016257344 has 224 divisors, whose sum is σ = 37224091607040. Its totient is φ = 4212965019648.

The previous prime is 13348016257339. The next prime is 13348016257399. The reversal of 13348016257344 is 44375261084331.

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 31 ways as a sum of consecutive naturals, for example, 1918090537 + ... + 1918097495.

Almost surely, 2^{13348016257344} 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 13348016257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612045803520).

13348016257344 is an abundant number, since it is smaller than the sum of its proper divisors (23876075349696).

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

13348016257344 is a wasteful number, since it uses less digits than its factorization.

13348016257344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317 (or 11307 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 13348016257344 in words is "thirteen trillion, three hundred forty-eight billion, sixteen million, two hundred fifty-seven thousand, three hundred forty-four".