13358390388224 has 80 divisors (see below), whose sum is σ = 30509465248416. Its totient is φ = 5723932262400.

The previous prime is 13358390388199. The next prime is 13358390388271. The reversal of 13358390388224 is 42288309385331.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18574214 + ... + 19279994.

Almost surely, 2^{13358390388224} is an apocalyptic number.

13358390388224 is a gapful number since it is divisible by the number (14) 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 13358390388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15254732624208).

13358390388224 is an abundant number, since it is smaller than the sum of its proper divisors (17151074860192).

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

13358390388224 is an frugal number, since it uses more digits than its factorization.

13358390388224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711087 (or 711071 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 59.

The spelling of 13358390388224 in words is "thirteen trillion, three hundred fifty-eight billion, three hundred ninety million, three hundred eighty-eight thousand, two hundred twenty-four".