427018113225 has 192 divisors, whose sum is σ = 898513920000. Its totient is φ = 196909574400.

The previous prime is 427018113217. The next prime is 427018113287. The reversal of 427018113225 is 522311810724.

427018113225 is a `hidden beast` number, since 427 + 0 + 1 + 8 + 1 + 1 + 3 + 225 = 666.

It is not a de Polignac number, because 427018113225 - 2³ = 427018113217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 427018113225.

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 191 ways as a sum of consecutive naturals, for example, 14411976 + ... + 14441574.

It is an arithmetic number, because the mean of its divisors is an integer number (4679760000).

Almost surely, 2^427018113225 is an apocalyptic number.

427018113225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427018113225 is an abundant number, since it is smaller than the sum of its proper divisors (471495806775).

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

427018113225 is a wasteful number, since it uses less digits than its factorization.

427018113225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29725 (or 29714 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 427018113225 its reverse (522311810724), we get a palindrome (949329923949).

The spelling of 427018113225 in words is "four hundred twenty-seven billion, eighteen million, one hundred thirteen thousand, two hundred twenty-five".