18084601441 has 9 divisors (see below), whose sum is σ = 18302194963. Its totient is φ = 17869569520.

The previous prime is 18084601433. The next prime is 18084601477. The reversal of 18084601441 is 14410648081.

The square root of 18084601441 is 134479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3472627041 + 14611974400 = 58929^2 + 120880^2 .

It is not a de Polignac number, because 18084601441 - 2³ = 18084601433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18084601441.

It is not an unprimeable number, because it can be changed into a prime (18084601421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11967876 + ... + 11969386.

Almost surely, 2^18084601441 is an apocalyptic number.

18084601441 is the 134479-th square number.

18084601441 is the 67240-th centered octagonal number.

It is an amenable number.

18084601441 is a deficient number, since it is larger than the sum of its proper divisors (217593522).

18084601441 is an frugal number, since it uses more digits than its factorization.

18084601441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 18084601441 in words is "eighteen billion, eighty-four million, six hundred one thousand, four hundred forty-one".