504640404345312 has 72 divisors (see below), whose sum is σ = 1435986959150016. Its totient is φ = 168106120505856.

The previous prime is 504640404345193. The next prime is 504640404345349. The reversal of 504640404345312 is 213543404046405.

504640404345312 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 40 + 40 + 4 + 34 + 531 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558650053 + ... + 559552644.

It is an arithmetic number, because the mean of its divisors is an integer number (19944263321528).

Almost surely, 2^{504640404345312} is an apocalyptic number.

It is an amenable number.

504640404345312 is an abundant number, since it is smaller than the sum of its proper divisors (931346554804704).

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

504640404345312 is a wasteful number, since it uses less digits than its factorization.

504640404345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118204280 (or 1118204269 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 504640404345312 in words is "five hundred four trillion, six hundred forty billion, four hundred four million, three hundred forty-five thousand, three hundred twelve".