504969414544 has 135 divisors (see below), whose sum is σ = 1168436989521. Its totient is φ = 210795943680.

The previous prime is 504969414529. The next prime is 504969414577. The reversal of 504969414544 is 445414969405.

It is a happy number.

The square root of 504969414544 is 710612.

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

It can be written as a sum of positive squares in only one way, i.e., 24332256144 + 480637158400 = 155988^2 + 693280^2 .

It is a Duffinian number.

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, 815782267 + ... + 815782885.

Almost surely, 2^504969414544 is an apocalyptic number.

504969414544 is the 710612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504969414544

504969414544 is an abundant number, since it is smaller than the sum of its proper divisors (663467574977).

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

504969414544 is an frugal number, since it uses more digits than its factorization.

504969414544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 504969414544 in words is "five hundred four billion, nine hundred sixty-nine million, four hundred fourteen thousand, five hundred forty-four".