506563163416464 has 160 divisors (see below), whose sum is σ = 1632106905615360. Its totient is φ = 131528170636800.

The previous prime is 506563163416451. The next prime is 506563163416493. The reversal of 506563163416464 is 464614361365605.

It is a super-2 number, since 2×506563163416464² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506563163416398 and 506563163416407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13890507 + ... + 34728554.

It is an arithmetic number, because the mean of its divisors is an integer number (10200668160096).

Almost surely, 2^{506563163416464} is an apocalyptic number.

It is an amenable number.

506563163416464 is an abundant number, since it is smaller than the sum of its proper divisors (1125543742198896).

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

506563163416464 is a wasteful number, since it uses less digits than its factorization.

506563163416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48621909 (or 48621903 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 60.

The spelling of 506563163416464 in words is "five hundred six trillion, five hundred sixty-three billion, one hundred sixty-three million, four hundred sixteen thousand, four hundred sixty-four".