504315102144 has 224 divisors, whose sum is σ = 1596554104320. Its totient is φ = 137444364288.

The previous prime is 504315102143. The next prime is 504315102149. The reversal of 504315102144 is 441201513405.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504315102143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3157062 + ... + 3312954.

It is an arithmetic number, because the mean of its divisors is an integer number (7127473680).

Almost surely, 2^504315102144 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 504315102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798277052160).

504315102144 is an abundant number, since it is smaller than the sum of its proper divisors (1092239002176).

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

504315102144 is a wasteful number, since it uses less digits than its factorization.

504315102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156027 (or 156017 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 504315102144 its reverse (441201513405), we get a palindrome (945516615549).

The spelling of 504315102144 in words is "five hundred four billion, three hundred fifteen million, one hundred two thousand, one hundred forty-four".