505364014464 has 64 divisors (see below), whose sum is σ = 1345063800000. Its totient is φ = 168117023232.

The previous prime is 505364014453. The next prime is 505364014469. The reversal of 505364014464 is 464410463505.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505364014469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127074 + ... + 1510305.

It is an arithmetic number, because the mean of its divisors is an integer number (21016621875).

Almost surely, 2^505364014464 is an apocalyptic number.

It is an amenable number.

505364014464 is an abundant number, since it is smaller than the sum of its proper divisors (839699785536).

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

505364014464 is a wasteful number, since it uses less digits than its factorization.

505364014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637895 (or 2637883 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 505364014464 its reverse (464410463505), we get a palindrome (969774477969).

The spelling of 505364014464 in words is "five hundred five billion, three hundred sixty-four million, fourteen thousand, four hundred sixty-four".