504666666405 has 128 divisors (see below), whose sum is σ = 1033135257600. Its totient is φ = 231803933760.

The previous prime is 504666666391. The next prime is 504666666457.

504666666405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504666666405 - 2⁷ = 504666666277 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10160842 + ... + 10210388.

It is an arithmetic number, because the mean of its divisors is an integer number (8071369200).

Almost surely, 2^504666666405 is an apocalyptic number.

504666666405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504666666405 is an abundant number, since it is smaller than the sum of its proper divisors (528468591195).

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

504666666405 is a wasteful number, since it uses less digits than its factorization.

504666666405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49629 (or 49585 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 504666666405 in words is "five hundred four billion, six hundred sixty-six million, six hundred sixty-six thousand, four hundred five".