504314514144 has 72 divisors (see below), whose sum is σ = 1639022177520. Its totient is φ = 144089860608.

The previous prime is 504314514107. The next prime is 504314514149. The reversal of 504314514144 is 441415413405.

504314514144 is a `hidden beast` number, since 5 + 0 + 431 + 45 + 141 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 504314514099 and 504314514108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504314514149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125075989 + ... + 125080020.

It is an arithmetic number, because the mean of its divisors is an integer number (22764196910).

Almost surely, 2^504314514144 is an apocalyptic number.

It is an amenable number.

504314514144 is an abundant number, since it is smaller than the sum of its proper divisors (1134707663376).

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

504314514144 is a wasteful number, since it uses less digits than its factorization.

504314514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250156032 (or 250156021 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 504314514144 its reverse (441415413405), we get a palindrome (945729927549).

The spelling of 504314514144 in words is "five hundred four billion, three hundred fourteen million, five hundred fourteen thousand, one hundred forty-four".