504144113215504 has 40 divisors (see below), whose sum is σ = 1006907946724440. Its totient is φ = 244347553640448.

The previous prime is 504144113215489. The next prime is 504144113215571. The reversal of 504144113215504 is 405512311441405.

It can be written as a sum of positive squares in 4 ways, for example, as 78677254800400 + 425466858415104 = 8870020^2 + 20626848^2 .

It is a super-2 number, since 2×504144113215504² (a number of 30 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1582730689 + ... + 1583049184.

It is an arithmetic number, because the mean of its divisors is an integer number (25172698668111).

Almost surely, 2^{504144113215504} is an apocalyptic number.

It is an amenable number.

504144113215504 is a deficient number, since it is larger than the sum of its proper divisors (502763833508936).

504144113215504 is a wasteful number, since it uses less digits than its factorization.

504144113215504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165780187 (or 3165780181 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

Adding to 504144113215504 its reverse (405512311441405), we get a palindrome (909656424656909).

The spelling of 504144113215504 in words is "five hundred four trillion, one hundred forty-four billion, one hundred thirteen million, two hundred fifteen thousand, five hundred four".