506341097856 has 384 divisors, whose sum is σ = 1626873431040. Its totient is φ = 149844418560.

The previous prime is 506341097839. The next prime is 506341097861. The reversal of 506341097856 is 658790143605.

506341097856 is a `hidden beast` number, since 5 + 0 + 63 + 410 + 97 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 490165116 + ... + 490166148.

It is an arithmetic number, because the mean of its divisors is an integer number (4236649560).

Almost surely, 2^506341097856 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 506341097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813436715520).

506341097856 is an abundant number, since it is smaller than the sum of its proper divisors (1120532333184).

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

506341097856 is a wasteful number, since it uses less digits than its factorization.

506341097856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 506341097856 in words is "five hundred six billion, three hundred forty-one million, ninety-seven thousand, eight hundred fifty-six".