1286298116224 has 576 divisors, whose sum is σ = 3192443097480. Its totient is φ = 513660026880.

The previous prime is 1286298116203. The next prime is 1286298116227. The reversal of 1286298116224 is 4226118926821.

It can be written as a sum of positive squares in 12 ways, for example, as 515765276224 + 770532840000 = 718168^2 + 877800^2 .

It is a super-2 number, since 2×1286298116224² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1286298116227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8192981554 + ... + 8192981710.

Almost surely, 2^{1286298116224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1286298116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596221548740).

1286298116224 is an abundant number, since it is smaller than the sum of its proper divisors (1906144981256).

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

1286298116224 is a wasteful number, since it uses less digits than its factorization.

1286298116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 253 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The spelling of 1286298116224 in words is "one trillion, two hundred eighty-six billion, two hundred ninety-eight million, one hundred sixteen thousand, two hundred twenty-four".