1248567116449 has 9 divisors (see below), whose sum is σ = 1326352721497. Its totient is φ = 1175104113664.

The previous prime is 1248567116429. The next prime is 1248567116477. The reversal of 1248567116449 is 9446117658421.

The square root of 1248567116449 is 1117393.

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

It can be written as a sum of positive squares in 4 ways, for example, as 361519600225 + 887047516224 = 601265^2 + 941832^2 .

It is not a de Polignac number, because 1248567116449 - 2¹¹ = 1248567114401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1248567116393 and 1248567116402.

It is not an unprimeable number, because it can be changed into a prime (1248567116429) 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, 18962817 + ... + 19028545.

Almost surely, 2^{1248567116449} is an apocalyptic number.

1248567116449 is the 1117393-rd square number.

1248567116449 is the 558697-th centered octagonal number.

It is an amenable number.

1248567116449 is a deficient number, since it is larger than the sum of its proper divisors (77785605048).

1248567116449 is an frugal number, since it uses more digits than its factorization.

1248567116449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131492 (or 65746 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 1248567116449 in words is "one trillion, two hundred forty-eight billion, five hundred sixty-seven million, one hundred sixteen thousand, four hundred forty-nine".