11160001161 has 48 divisors (see below), whose sum is σ = 16782227280. Its totient is φ = 7140441600.

The previous prime is 11160001159. The next prime is 11160001319. The reversal of 11160001161 is 16110006111.

11160001161 is a `hidden beast` number, since 1 + 1 + 1 + 600 + 0 + 1 + 1 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 135001161 + 11025000000 = 11619^2 + 105000^2 .

It is not a de Polignac number, because 11160001161 - 2¹ = 11160001159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11160001141) 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 47 ways as a sum of consecutive naturals, for example, 13082811 + ... + 13083663.

It is an arithmetic number, because the mean of its divisors is an integer number (349629735).

Almost surely, 2^11160001161 is an apocalyptic number.

It is an amenable number.

11160001161 is a deficient number, since it is larger than the sum of its proper divisors (5622226119).

11160001161 is a wasteful number, since it uses less digits than its factorization.

11160001161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11160001161 its reverse (16110006111), we get a palindrome (27270007272).

The spelling of 11160001161 in words is "eleven billion, one hundred sixty million, one thousand, one hundred sixty-one".