1135116411 has 64 divisors (see below), whose sum is σ = 1912135680. Its totient is φ = 588608640.

The previous prime is 1135116403. The next prime is 1135116421. The reversal of 1135116411 is 1146115311.

It is not a de Polignac number, because 1135116411 - 2³ = 1135116403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135116421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381616 + ... + 384578.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 2^1135116411 is an apocalyptic number.

1135116411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1135116411 is a deficient number, since it is larger than the sum of its proper divisors (777019269).

1135116411 is a wasteful number, since it uses less digits than its factorization.

1135116411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056.

The product of its digits is 360, while the sum is 24.

The square root of 1135116411 is about 33691.4887026382. The cubic root of 1135116411 is about 1043.1500923711.

The spelling of 1135116411 in words is "one billion, one hundred thirty-five million, one hundred sixteen thousand, four hundred eleven".