1135618165311 has 16 divisors (see below), whose sum is σ = 1747599103488. Its totient is φ = 642499668000.

The previous prime is 1135618165277. The next prime is 1135618165313.

1135618165311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1135618165311 - 2¹³ = 1135618157119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135618165313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267706075 + ... + 267710316.

It is an arithmetic number, because the mean of its divisors is an integer number (109224943968).

Almost surely, 2^{1135618165311} is an apocalyptic number.

1135618165311 is a deficient number, since it is larger than the sum of its proper divisors (611980938177).

1135618165311 is a wasteful number, since it uses less digits than its factorization.

1135618165311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535416502.

The product of its digits is 64800, while the sum is 42.

The spelling of 1135618165311 in words is "one trillion, one hundred thirty-five billion, six hundred eighteen million, one hundred sixty-five thousand, three hundred eleven".