18185235292225 has 27 divisors (see below), whose sum is σ = 22638745107657. Its totient is φ = 14490959784480.

The previous prime is 18185235292193. The next prime is 18185235292229. The reversal of 18185235292225 is 52229253258181.

The square root of 18185235292225 is 4264415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4167220056129 + 14018015236096 = 2041377^2 + 3744064^2 .

It is not a de Polignac number, because 18185235292225 - 2⁵ = 18185235292193 is a prime.

It is a super-2 number, since 2×18185235292225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18185235292229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5906213236 + ... + 5906216314.

Almost surely, 2^{18185235292225} is an apocalyptic number.

18185235292225 is the 4264415-th square number.

18185235292225 is the 2132208-th centered octagonal number.

It is an amenable number.

18185235292225 is a deficient number, since it is larger than the sum of its proper divisors (4453509815432).

18185235292225 is an frugal number, since it uses more digits than its factorization.

18185235292225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 3361 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 55.

The spelling of 18185235292225 in words is "eighteen trillion, one hundred eighty-five billion, two hundred thirty-five million, two hundred ninety-two thousand, two hundred twenty-five".