1165705065161 has 24 divisors (see below), whose sum is σ = 1484273766024. Its totient is φ = 907196129280.

The previous prime is 1165705065157. The next prime is 1165705065193. The reversal of 1165705065161 is 1615605075611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 178712489536 + 986992575625 = 422744^2 + 993475^2 .

It is not a de Polignac number, because 1165705065161 - 2² = 1165705065157 is a prime.

It is a super-2 number, since 2×1165705065161² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1165705065121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14961080 + ... + 15038793.

It is an arithmetic number, because the mean of its divisors is an integer number (61844740251).

Almost surely, 2^{1165705065161} is an apocalyptic number.

It is an amenable number.

1165705065161 is a deficient number, since it is larger than the sum of its proper divisors (318568700863).

1165705065161 is a wasteful number, since it uses less digits than its factorization.

1165705065161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29999961 (or 29999954 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 44.

The spelling of 1165705065161 in words is "one trillion, one hundred sixty-five billion, seven hundred five million, sixty-five thousand, one hundred sixty-one".