13358323697472 has 980 divisors, whose sum is σ = 45446052330980. Its totient is φ = 3893924316672.

The previous prime is 13358323697471. The next prime is 13358323697479. The reversal of 13358323697472 is 27479632385331.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13358323697472 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 83 + 23 + 69 + 7 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 492500782656 + 12865822914816 = 701784^2 + 3586896^2 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13358323697472 = 2964³ + 23712³ = 13338³ + 22230³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13358323697471) 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 139 ways as a sum of consecutive naturals, for example, 703069668279 + ... + 703069668297.

Almost surely, 2^{13358323697472} is an apocalyptic number.

13358323697472 is a gapful number since it is divisible by the number (12) 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 13358323697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723026165490).

13358323697472 is an abundant number, since it is smaller than the sum of its proper divisors (32087728633508).

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

13358323697472 is an frugal number, since it uses more digits than its factorization.

13358323697472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 37 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 13358323697472 in words is "thirteen trillion, three hundred fifty-eight billion, three hundred twenty-three million, six hundred ninety-seven thousand, four hundred seventy-two".