12484738890625 has 63 divisors (see below), whose sum is σ = 16327018804453. Its totient is φ = 9545765900000.

The previous prime is 12484738890619. The next prime is 12484738890683. The reversal of 12484738890625 is 52609883748421.

The square root of 12484738890625 is 3533375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 11747009066881 + 737729823744 = 3427391^2 + 858912^2 .

It is not a de Polignac number, because 12484738890625 - 2¹⁹ = 12484738366337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10158452511 + ... + 10158453739.

It is a 1-persistent number, because it is pandigital, but 2⋅12484738890625 = 24969477781250 is not.

Almost surely, 2^{12484738890625} is an apocalyptic number.

12484738890625 is the 3533375-th square number.

12484738890625 is the 1766688-th centered octagonal number.

It is an amenable number.

12484738890625 is a deficient number, since it is larger than the sum of its proper divisors (3842279913828).

12484738890625 is an frugal number, since it uses more digits than its factorization.

12484738890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 67.

The spelling of 12484738890625 in words is "twelve trillion, four hundred eighty-four billion, seven hundred thirty-eight million, eight hundred ninety thousand, six hundred twenty-five".