505687332409344 has 312 divisors, whose sum is σ = 1543498651319040. Its totient is φ = 159192688951296.

The previous prime is 505687332409331. The next prime is 505687332409373. The reversal of 505687332409344 is 443904233786505.

505687332409344 is a `hidden beast` number, since 5 + 0 + 568 + 7 + 3 + 3 + 24 + 0 + 9 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63207082 + ... + 70756694.

It is an arithmetic number, because the mean of its divisors is an integer number (4947111061920).

Almost surely, 2^{505687332409344} 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 505687332409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771749325659520).

505687332409344 is an abundant number, since it is smaller than the sum of its proper divisors (1037811318909696).

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

505687332409344 is a wasteful number, since it uses less digits than its factorization.

505687332409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549745 (or 7549720 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 505687332409344 in words is "five hundred five trillion, six hundred eighty-seven billion, three hundred thirty-two million, four hundred nine thousand, three hundred forty-four".