12585054241764 has 81 divisors (see below), whose sum is σ = 31931085341883. Its totient is φ = 4179401800704.

The previous prime is 12585054241751. The next prime is 12585054241787. The reversal of 12585054241764 is 46714245058521.

The square root of 12585054241764 is 3547542.

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

12585054241764 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 50 + 542 + 41 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5519069532900 + 7065984708864 = 2349270^2 + 2658192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12585054241764.

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, 6662282932 + ... + 6662284820.

Almost surely, 2^{12585054241764} is an apocalyptic number.

12585054241764 is the 3547542-nd square number.

It is an amenable number.

12585054241764 is an abundant number, since it is smaller than the sum of its proper divisors (19346031100119).

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

12585054241764 is an frugal number, since it uses more digits than its factorization.

12585054241764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 12585054241764 in words is "twelve trillion, five hundred eighty-five billion, fifty-four million, two hundred forty-one thousand, seven hundred sixty-four".