12782283853824 has 273 divisors, whose sum is σ = 38343170912053. Its totient is φ = 4258701950976.

The previous prime is 12782283853813. The next prime is 12782283853831. The reversal of 12782283853824 is 42835838228721.

The square root of 12782283853824 is 3575232.

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

12782283853824 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 228 + 385 + 3 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2002881613824 + 10779402240000 = 1415232^2 + 3283200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6177999862 + ... + 6178001930.

Almost surely, 2^{12782283853824} is an apocalyptic number.

12782283853824 is the 3575232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782283853824

12782283853824 is an abundant number, since it is smaller than the sum of its proper divisors (25560887058229).

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

12782283853824 is an frugal number, since it uses more digits than its factorization.

12782283853824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 2074 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 12782283853824 in words is "twelve trillion, seven hundred eighty-two billion, two hundred eighty-three million, eight hundred fifty-three thousand, eight hundred twenty-four".