18820825688125 has 20 divisors (see below), whose sum is σ = 23668303290412. Its totient is φ = 14960758176000.

The previous prime is 18820825688117. The next prime is 18820825688149. The reversal of 18820825688125 is 52188652802881.

It can be written as a sum of positive squares in 10 ways, for example, as 13532053816836 + 5288771871289 = 3678594^2 + 2299733^2 .

It is not a de Polignac number, because 18820825688125 - 2³ = 18820825688117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95804172 + ... + 96000421.

Almost surely, 2^{18820825688125} is an apocalyptic number.

It is an amenable number.

18820825688125 is a deficient number, since it is larger than the sum of its proper divisors (4847477602287).

18820825688125 is an equidigital number, since it uses as much as digits as its factorization.

18820825688125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191804770 (or 191804755 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 64.

The spelling of 18820825688125 in words is "eighteen trillion, eight hundred twenty billion, eight hundred twenty-five million, six hundred eighty-eight thousand, one hundred twenty-five".