161814418161 has 48 divisors (see below), whose sum is σ = 244574461824. Its totient is φ = 95020992000.

The previous prime is 161814418159. The next prime is 161814418267.

161814418161 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 161814418161 - 2¹ = 161814418159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (161814418151) 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, 3211876 + ... + 3261866.

It is an arithmetic number, because the mean of its divisors is an integer number (5095301288).

Almost surely, 2^161814418161 is an apocalyptic number.

161814418161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161814418161 is a deficient number, since it is larger than the sum of its proper divisors (82760043663).

161814418161 is a wasteful number, since it uses less digits than its factorization.

161814418161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50294 (or 50283 counting only the distinct ones).

The product of its digits is 36864, while the sum is 42.

It can be divided in two parts, 161814 and 418161, that added together give a palindrome (579975).

The spelling of 161814418161 in words is "one hundred sixty-one billion, eight hundred fourteen million, four hundred eighteen thousand, one hundred sixty-one".