504449713361764 has 81 divisors (see below), whose sum is σ = 940142729863659. Its totient is φ = 236789048405760.

The previous prime is 504449713361701. The next prime is 504449713361771. The reversal of 504449713361764 is 467163317944405.

The square root of 504449713361764 is 22459958.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68692104324900 + 435757609036864 = 8288070^2 + 20874808^2 .

It is a super-3 number, since 3×504449713361764³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 504449713361696 and 504449713361705.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 494074155574 + ... + 494074156594.

Almost surely, 2^{504449713361764} is an apocalyptic number.

504449713361764 is the 22459958-th square number.

It is an amenable number.

504449713361764 is a deficient number, since it is larger than the sum of its proper divisors (435693016501895).

504449713361764 is an frugal number, since it uses more digits than its factorization.

504449713361764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 64.

The spelling of 504449713361764 in words is "five hundred four trillion, four hundred forty-nine billion, seven hundred thirteen million, three hundred sixty-one thousand, seven hundred sixty-four".