13385602745956 has 135 divisors (see below), whose sum is σ = 28113713352459. Its totient is φ = 5576109444864.

The previous prime is 13385602745899. The next prime is 13385602746073. The reversal of 13385602745956 is 65954720658331.

The square root of 13385602745956 is 3658634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 864026020900 + 12521576725056 = 929530^2 + 3538584^2 .

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 44 ways as a sum of consecutive naturals, for example, 13266206380 + ... + 13266207388.

It is a 1-persistent number, because it is pandigital, but 2⋅13385602745956 = 26771205491912 is not.

Almost surely, 2^{13385602745956} is an apocalyptic number.

13385602745956 is the 3658634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13385602745956

13385602745956 is an abundant number, since it is smaller than the sum of its proper divisors (14728110606503).

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

13385602745956 is an frugal number, since it uses more digits than its factorization.

13385602745956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 64.

Multiplying 13385602745956 by its sum of digits (64), we get a square (856678575741184 = 29269072²).

The spelling of 13385602745956 in words is "thirteen trillion, three hundred eighty-five billion, six hundred two million, seven hundred forty-five thousand, nine hundred fifty-six".