12517981781776 has 45 divisors (see below), whose sum is σ = 24385227890709. Its totient is φ = 6225202265088.

The previous prime is 12517981781761. The next prime is 12517981781819. The reversal of 12517981781776 is 67718718971521.

The square root of 12517981781776 is 3538076.

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., 3032961571600 + 9485020210176 = 1741540^2 + 3079776^2 .

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 8 ways as a sum of consecutive naturals, for example, 2731392381 + ... + 2731396963.

Almost surely, 2^{12517981781776} is an apocalyptic number.

12517981781776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12517981781776 is the 3538076-th square number.

It is an amenable number.

12517981781776 is a deficient number, since it is larger than the sum of its proper divisors (11867246108933).

12517981781776 is an frugal number, since it uses more digits than its factorization.

12517981781776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 4778 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 70.

The spelling of 12517981781776 in words is "twelve trillion, five hundred seventeen billion, nine hundred eighty-one million, seven hundred eighty-one thousand, seven hundred seventy-six".