18548306820225 has 240 divisors, whose sum is σ = 42295061276160. Its totient is φ = 7825414924800.

The previous prime is 18548306820223. The next prime is 18548306820247. The reversal of 18548306820225 is 52202860384581.

18548306820225 is a `hidden beast` number, since 1 + 8 + 548 + 30 + 68 + 2 + 0 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 18548306820225 - 2¹ = 18548306820223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18548306820221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1743420456 + ... + 1743431094.

It is an arithmetic number, because the mean of its divisors is an integer number (176229421984).

Almost surely, 2^{18548306820225} is an apocalyptic number.

18548306820225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18548306820225 is an abundant number, since it is smaller than the sum of its proper divisors (23746754455935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18548306820225 is a wasteful number, since it uses less digits than its factorization.

18548306820225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20142 (or 20128 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 18548306820225 in words is "eighteen trillion, five hundred forty-eight billion, three hundred six million, eight hundred twenty thousand, two hundred twenty-five".