12762784830016 has 63 divisors (see below), whose sum is σ = 27424973877273. Its totient is φ = 5890344595200.

The previous prime is 12762784830013. The next prime is 12762784830031. The reversal of 12762784830016 is 61003848726721.

The square root of 12762784830016 is 3572504.

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., 1887985921600 + 10874798908416 = 1374040^2 + 3297696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12762784830013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371523241 + ... + 371557591.

It is an arithmetic number, because the mean of its divisors is an integer number (435317045671).

Almost surely, 2^{12762784830016} is an apocalyptic number.

12762784830016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12762784830016 is the 3572504-th square number.

It is an amenable number.

12762784830016 is an abundant number, since it is smaller than the sum of its proper divisors (14662189047257).

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

12762784830016 is an frugal number, since it uses more digits than its factorization.

12762784830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68740 (or 34366 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 12762784830016 in words is "twelve trillion, seven hundred sixty-two billion, seven hundred eighty-four million, eight hundred thirty thousand, sixteen".