506345313888 has 192 divisors, whose sum is σ = 1600080894720. Its totient is φ = 155158972416.

The previous prime is 506345313829. The next prime is 506345313949. The reversal of 506345313888 is 888313543605.

506345313888 is a `hidden beast` number, since 50 + 6 + 3 + 453 + 138 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 230731 + ... + 1032437.

It is an arithmetic number, because the mean of its divisors is an integer number (8333754660).

Almost surely, 2^506345313888 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 506345313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800040447360).

506345313888 is an abundant number, since it is smaller than the sum of its proper divisors (1093735580832).

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

506345313888 is a wasteful number, since it uses less digits than its factorization.

506345313888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801786 (or 801772 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 506345313888 in words is "five hundred six billion, three hundred forty-five million, three hundred thirteen thousand, eight hundred eighty-eight".