161123606321161 has 48 divisors (see below), whose sum is σ = 179975080172160. Its totient is φ = 144121618080000.

The previous prime is 161123606321147. The next prime is 161123606321189.

It is a happy number.

161123606321161 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 161123606321161 - 2³⁵ = 161089246582793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161123606321141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279376151 + ... + 1279502083.

It is an arithmetic number, because the mean of its divisors is an integer number (3749480836920).

Almost surely, 2^{161123606321161} is an apocalyptic number.

161123606321161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161123606321161 is a deficient number, since it is larger than the sum of its proper divisors (18851473850999).

161123606321161 is a wasteful number, since it uses less digits than its factorization.

161123606321161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126718 (or 126707 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 161123606321161 in words is "one hundred sixty-one trillion, one hundred twenty-three billion, six hundred six million, three hundred twenty-one thousand, one hundred sixty-one".