1435546648449 has 135 divisors (see below), whose sum is σ = 2347228997113. Its totient is φ = 874165132800.

The previous prime is 1435546648427. The next prime is 1435546648463. The reversal of 1435546648449 is 9448466455341.

The square root of 1435546648449 is 1198143.

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

1435546648449 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 54 + 66 + 484 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101133540225 + 1334413108224 = 318015^2 + 1155168^2 .

It is not a de Polignac number, because 1435546648449 - 2¹³ = 1435546640257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1435544648449) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7515950944 + ... + 7515951134.

Almost surely, 2^{1435546648449} is an apocalyptic number.

1435546648449 is the 1198143-rd square number.

1435546648449 is the 599072-nd centered octagonal number.

It is an amenable number.

1435546648449 is a deficient number, since it is larger than the sum of its proper divisors (911682348664).

1435546648449 is an frugal number, since it uses more digits than its factorization.

1435546648449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 252 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 1435546648449 in words is "one trillion, four hundred thirty-five billion, five hundred forty-six million, six hundred forty-eight thousand, four hundred forty-nine".