12985558188304 has 225 divisors, whose sum is σ = 28701167077029. Its totient is φ = 5688993298560.

The previous prime is 12985558188299. The next prime is 12985558188437. The reversal of 12985558188304 is 40388185558921.

The square root of 12985558188304 is 3603548.

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

12985558188304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1920940560400 + 11064617627904 = 1385980^2 + 3326352^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12985558188304.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99126398319 + ... + 99126398449.

Almost surely, 2^{12985558188304} is an apocalyptic number.

12985558188304 is the 3603548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12985558188304

12985558188304 is an abundant number, since it is smaller than the sum of its proper divisors (15715608888725).

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

12985558188304 is an frugal number, since it uses more digits than its factorization.

12985558188304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 67.

The spelling of 12985558188304 in words is "twelve trillion, nine hundred eighty-five billion, five hundred fifty-eight million, one hundred eighty-eight thousand, three hundred four".