11505164161 has 8 divisors (see below), whose sum is σ = 11544426504. Its totient is φ = 11465932800.

The previous prime is 11505164159. The next prime is 11505164191. The reversal of 11505164161 is 16146150511.

It can be written as a sum of positive squares in 4 ways, for example, as 2350310400 + 9154853761 = 48480^2 + 95681^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11505164161 - 2¹ = 11505164159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11505164191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921561 + ... + 933961.

It is an arithmetic number, because the mean of its divisors is an integer number (1443053313).

Almost surely, 2^11505164161 is an apocalyptic number.

It is an amenable number.

11505164161 is a deficient number, since it is larger than the sum of its proper divisors (39262343).

11505164161 is a wasteful number, since it uses less digits than its factorization.

11505164161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15491.

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 11505164161 in words is "eleven billion, five hundred five million, one hundred sixty-four thousand, one hundred sixty-one".