504577232896 has 117 divisors (see below), whose sum is σ = 1110200792673. Its totient is φ = 229125980160.

The previous prime is 504577232869. The next prime is 504577232927. The reversal of 504577232896 is 698232775405.

It is a happy number.

The square root of 504577232896 is 710336.

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., 154870583296 + 349706649600 = 393536^2 + 591360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 504577232896.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 500076040 + ... + 500077048.

Almost surely, 2^504577232896 is an apocalyptic number.

504577232896 is the 710336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504577232896

504577232896 is an abundant number, since it is smaller than the sum of its proper divisors (605623559777).

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

504577232896 is an frugal number, since it uses more digits than its factorization.

504577232896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 504577232896 in words is "five hundred four billion, five hundred seventy-seven million, two hundred thirty-two thousand, eight hundred ninety-six".