12485989736704 has 243 divisors, whose sum is σ = 29125849551463. Its totient is φ = 5337076940800.

The previous prime is 12485989736683. The next prime is 12485989736743. The reversal of 12485989736704 is 40763798958421.

The square root of 12485989736704 is 3533552.

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

12485989736704 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 4 ways, for example, as 6285650694400 + 6200339042304 = 2507120^2 + 2490048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10572386994 + ... + 10572388174.

It is a 1-persistent number, because it is pandigital, but 2⋅12485989736704 = 24971979473408 is not.

Almost surely, 2^{12485989736704} is an apocalyptic number.

12485989736704 is the 3533552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12485989736704

12485989736704 is an abundant number, since it is smaller than the sum of its proper divisors (16639859814759).

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

12485989736704 is an frugal number, since it uses more digits than its factorization.

12485989736704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 12485989736704 in words is "twelve trillion, four hundred eighty-five billion, nine hundred eighty-nine million, seven hundred thirty-six thousand, seven hundred four".