13563369391104 has 495 divisors, whose sum is σ = 42615210310907. Its totient is φ = 4154959650816.

The previous prime is 13563369391087. The next prime is 13563369391109. The reversal of 13563369391104 is 40119396336531.

The square root of 13563369391104 is 3682848.

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

13563369391104 is a `hidden beast` number, since 1 + 3 + 563 + 3 + 69 + 3 + 9 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6724935189504 + 6838434201600 = 2593248^2 + 2615040^2 .

It is not an unprimeable number, because it can be changed into a prime (13563369391109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59750525839 + ... + 59750526065.

Almost surely, 2^{13563369391104} is an apocalyptic number.

13563369391104 is the 3682848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13563369391104

13563369391104 is an abundant number, since it is smaller than the sum of its proper divisors (29051840919803).

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

13563369391104 is an frugal number, since it uses more digits than its factorization.

13563369391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 13563369391104 in words is "thirteen trillion, five hundred sixty-three billion, three hundred sixty-nine million, three hundred ninety-one thousand, one hundred four".