1135496966409 has 81 divisors (see below), whose sum is σ = 1802083286133. Its totient is φ = 688665504384.

The previous prime is 1135496966407. The next prime is 1135496966419. The reversal of 1135496966409 is 9046696945311.

The square root of 1135496966409 is 1065597.

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

1135496966409 is a `hidden beast` number, since 1 + 1 + 3 + 54 + 96 + 96 + 6 + 409 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 496411839225 + 639085127184 = 704565^2 + 799428^2 .

It is not a de Polignac number, because 1135496966409 - 2¹ = 1135496966407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135496966407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3698687034 + ... + 3698687340.

Almost surely, 2^{1135496966409} is an apocalyptic number.

1135496966409 is the 1065597-th square number.

1135496966409 is the 532799-th centered octagonal number.

It is an amenable number.

1135496966409 is a deficient number, since it is larger than the sum of its proper divisors (666586319724).

1135496966409 is an frugal number, since it uses more digits than its factorization.

1135496966409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 1135496966409 in words is "one trillion, one hundred thirty-five billion, four hundred ninety-six million, nine hundred sixty-six thousand, four hundred nine".