1288663147249 has 9 divisors (see below), whose sum is σ = 1360079991417. Its totient is φ = 1220818337604.

The previous prime is 1288663147217. The next prime is 1288663147301. The reversal of 1288663147249 is 9427413668821.

The square root of 1288663147249 is 1135193.

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

It is not a de Polignac number, because 1288663147249 - 2⁵ = 1288663147217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1288663147049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21538794 + ... + 21598540.

Almost surely, 2^{1288663147249} is an apocalyptic number.

1288663147249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1288663147249 is the 1135193-rd square number.

1288663147249 is the 567597-th centered octagonal number.

It is an amenable number.

1288663147249 is a deficient number, since it is larger than the sum of its proper divisors (71416844168).

1288663147249 is an frugal number, since it uses more digits than its factorization.

1288663147249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119532 (or 59766 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 61.

The spelling of 1288663147249 in words is "one trillion, two hundred eighty-eight billion, six hundred sixty-three million, one hundred forty-seven thousand, two hundred forty-nine".