12353341031824 has 135 divisors (see below), whose sum is σ = 26117890270563. Its totient is φ = 5657762512896.

The previous prime is 12353341031813. The next prime is 12353341031831. The reversal of 12353341031824 is 42813014335321.

The square root of 12353341031824 is 3514732.

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

It can be written as a sum of positive squares in 4 ways, for example, as 878591278224 + 11474749753600 = 937332^2 + 3387440^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 46970878317 + ... + 46970878579.

Almost surely, 2^{12353341031824} is an apocalyptic number.

12353341031824 is the 3514732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12353341031824

12353341031824 is an abundant number, since it is smaller than the sum of its proper divisors (13764549238739).

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

12353341031824 is an frugal number, since it uses more digits than its factorization.

12353341031824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 12353341031824 in words is "twelve trillion, three hundred fifty-three billion, three hundred forty-one million, thirty-one thousand, eight hundred twenty-four".