504641383146405 has 64 divisors (see below), whose sum is σ = 921032698924800. Its totient is φ = 262003060823040.

The previous prime is 504641383146389. The next prime is 504641383146409.

504641383146405 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 4 + 13 + 83 + 146 + 405 = 666.

504641383146405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504641383146405 - 2⁴ = 504641383146389 is a prime.

It is a super-3 number, since 3×504641383146405³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504641383146409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97221915 + ... + 102280904.

It is an arithmetic number, because the mean of its divisors is an integer number (14391135920700).

Almost surely, 2^{504641383146405} is an apocalyptic number.

It is an amenable number.

504641383146405 is a deficient number, since it is larger than the sum of its proper divisors (416391315778395).

504641383146405 is a wasteful number, since it uses less digits than its factorization.

504641383146405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199503331 (or 199503325 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 504641383146405 in words is "five hundred four trillion, six hundred forty-one billion, three hundred eighty-three million, one hundred forty-six thousand, four hundred five".