488406001122 has 54 divisors (see below), whose sum is σ = 1145966058081. Its totient is φ = 150266909520.

The previous prime is 488406001117. The next prime is 488406001129. The reversal of 488406001122 is 221100604884.

488406001122 is a `hidden beast` number, since 4 + 8 + 8 + 40 + 600 + 1 + 1 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417601580841 + 70804420281 = 646221^2 + 266091^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=494169.

It is not an unprimeable number, because it can be changed into a prime (488406001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38538847 + ... + 38551517.

Almost surely, 2^488406001122 is an apocalyptic number.

488406001122 is an abundant number, since it is smaller than the sum of its proper divisors (657560056959).

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

488406001122 is an equidigital number, since it uses as much as digits as its factorization.

488406001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 488406001122 in words is "four hundred eighty-eight billion, four hundred six million, one thousand, one hundred twenty-two".