1286845056 has 480 divisors, whose sum is σ = 4748584500. Its totient is φ = 343719936.

The previous prime is 1286844997. The next prime is 1286845057. The reversal of 1286845056 is 6505486821.

It can be written as a sum of positive squares in 2 ways, for example, as 1280494656 + 6350400 = 35784^2 + 2520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286845057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8636470 + ... + 8636618.

Almost surely, 2^1286845056 is an apocalyptic number.

1286845056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1286845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374292250).

1286845056 is an abundant number, since it is smaller than the sum of its proper divisors (3461739444).

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

1286845056 is a wasteful number, since it uses less digits than its factorization.

1286845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1286845056 is about 35872.6226529369. The cubic root of 1286845056 is about 1087.6990589242.

The spelling of 1286845056 in words is "one billion, two hundred eighty-six million, eight hundred forty-five thousand, fifty-six".