13997535203584 has 243 divisors, whose sum is σ = 30547203051141. Its totient is φ = 6400364636160.

The previous prime is 13997535203581. The next prime is 13997535203593. The reversal of 13997535203584 is 48530253579931.

The square root of 13997535203584 is 3741328.

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

It can be written as a sum of positive squares in only one way, i.e., 9380743840000 + 4616791363584 = 3062800^2 + 2148672^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (13997535203581) 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 26 ways as a sum of consecutive naturals, for example, 35258274874 + ... + 35258275270.

Almost surely, 2^{13997535203584} is an apocalyptic number.

13997535203584 is the 3741328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13997535203584

13997535203584 is an abundant number, since it is smaller than the sum of its proper divisors (16549667847557).

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

13997535203584 is an frugal number, since it uses more digits than its factorization.

13997535203584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 64.

Multiplying 13997535203584 by its sum of digits (64), we get a square (895842253029376 = 29930624²).

13997535203584 divided by its sum of digits (64) gives a square (218711487556 = 467666²).

The spelling of 13997535203584 in words is "thirteen trillion, nine hundred ninety-seven billion, five hundred thirty-five million, two hundred three thousand, five hundred eighty-four".