12438494784 has 105 divisors (see below), whose sum is σ = 36895414017. Its totient is φ = 4143488256.

The previous prime is 12438494773. The next prime is 12438494807. The reversal of 12438494784 is 48749483421.

The square root of 12438494784 is 111528.

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

12438494784 is a `hidden beast` number, since 124 + 3 + 8 + 49 + 478 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4208376384 + 8230118400 = 64872^2 + 90720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12438494784.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8029242 + ... + 8030790.

Almost surely, 2^12438494784 is an apocalyptic number.

12438494784 is the 111528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12438494784

12438494784 is an abundant number, since it is smaller than the sum of its proper divisors (24456919233).

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

12438494784 is an frugal number, since it uses more digits than its factorization.

12438494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 1554 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 12438494784 in words is "twelve billion, four hundred thirty-eight million, four hundred ninety-four thousand, seven hundred eighty-four".