506883763456 has 288 divisors, whose sum is σ = 1284564718080. Its totient is φ = 194602598400.

The previous prime is 506883763417. The next prime is 506883763469. The reversal of 506883763456 is 654367388605.

It is a super-2 number, since 2×506883763456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506883763394 and 506883763403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62721336 + ... + 62729416.

It is an arithmetic number, because the mean of its divisors is an integer number (4460294160).

Almost surely, 2^506883763456 is an apocalyptic number.

506883763456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506883763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642282359040).

506883763456 is an abundant number, since it is smaller than the sum of its proper divisors (777680954624).

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

506883763456 is a wasteful number, since it uses less digits than its factorization.

506883763456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 506883763456 in words is "five hundred six billion, eight hundred eighty-three million, seven hundred sixty-three thousand, four hundred fifty-six".