505864441368 has 192 divisors, whose sum is σ = 1625198964480. Its totient is φ = 140126457600.

The previous prime is 505864441349. The next prime is 505864441391. The reversal of 505864441368 is 863144468505.

505864441368 is a `hidden beast` number, since 5 + 0 + 586 + 4 + 44 + 13 + 6 + 8 = 666.

It is a super-2 number, since 2×505864441368² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821983 + ... + 1298993.

It is an arithmetic number, because the mean of its divisors is an integer number (8464577940).

Almost surely, 2^505864441368 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 505864441368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812599482240).

505864441368 is an abundant number, since it is smaller than the sum of its proper divisors (1119334523112).

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

505864441368 is a wasteful number, since it uses less digits than its factorization.

505864441368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477150 (or 477143 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 505864441368 in words is "five hundred five billion, eight hundred sixty-four million, four hundred forty-one thousand, three hundred sixty-eight".