1288945647 has 48 divisors (see below), whose sum is σ = 2062195200. Its totient is φ = 769305600.

The previous prime is 1288945643. The next prime is 1288945649. The reversal of 1288945647 is 7465498821.

It is a happy number.

It is not a de Polignac number, because 1288945647 - 2² = 1288945643 is a prime.

It is a super-2 number, since 2×1288945647² = 3322761761840497218, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288945593 and 1288945602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288945643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870479 + ... + 2870927.

It is an arithmetic number, because the mean of its divisors is an integer number (42962400).

Almost surely, 2^1288945647 is an apocalyptic number.

1288945647 is a deficient number, since it is larger than the sum of its proper divisors (773249553).

1288945647 is a wasteful number, since it uses less digits than its factorization.

1288945647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 841 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1288945647 is about 35901.8891842755. The cubic root of 1288945647 is about 1088.2905750408.

The spelling of 1288945647 in words is "one billion, two hundred eighty-eight million, nine hundred forty-five thousand, six hundred forty-seven".