506038147104 has 192 divisors, whose sum is σ = 1548899573760. Its totient is φ = 141657984000.

The previous prime is 506038147061. The next prime is 506038147117. The reversal of 506038147104 is 401741830605.

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, 26738157 + ... + 26757075.

It is an arithmetic number, because the mean of its divisors is an integer number (8067185280).

Almost surely, 2^506038147104 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 506038147104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774449786880).

506038147104 is an abundant number, since it is smaller than the sum of its proper divisors (1042861426656).

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

506038147104 is a wasteful number, since it uses less digits than its factorization.

506038147104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19743 (or 19735 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 506038147104 its reverse (401741830605), we get a palindrome (907779977709).

The spelling of 506038147104 in words is "five hundred six billion, thirty-eight million, one hundred forty-seven thousand, one hundred four".