504270323712 has 160 divisors (see below), whose sum is σ = 1506570352650. Its totient is φ = 168089223168.

The previous prime is 504270323693. The next prime is 504270323719. The reversal of 504270323712 is 217323072405.

504270323712 is a `hidden beast` number, since 50 + 4 + 270 + 323 + 7 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309598765056 + 194671558656 = 556416^2 + 441216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (504270323719) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559214 + ... + 2749202.

Almost surely, 2^504270323712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504270323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753285176325).

504270323712 is an abundant number, since it is smaller than the sum of its proper divisors (1002300028938).

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

504270323712 is an frugal number, since it uses more digits than its factorization.

504270323712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190031 (or 189994 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 504270323712 in words is "five hundred four billion, two hundred seventy million, three hundred twenty-three thousand, seven hundred twelve".