1135688865311 has 96 divisors (see below), whose sum is σ = 1577134973568. Its totient is φ = 795484800000.

The previous prime is 1135688865221. The next prime is 1135688865317.

1135688865311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1135688865311 - 2¹⁴ = 1135688848927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135688865317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67830401 + ... + 67847141.

It is an arithmetic number, because the mean of its divisors is an integer number (16428489308).

Almost surely, 2^{1135688865311} is an apocalyptic number.

1135688865311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1135688865311 is a deficient number, since it is larger than the sum of its proper divisors (441446108257).

1135688865311 is a wasteful number, since it uses less digits than its factorization.

1135688865311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16945 (or 16934 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 56.

The spelling of 1135688865311 in words is "one trillion, one hundred thirty-five billion, six hundred eighty-eight million, eight hundred sixty-five thousand, three hundred eleven".