506332136556344 has 128 divisors (see below), whose sum is σ = 1123977591705600. Its totient is φ = 209253689349120.

The previous prime is 506332136556299. The next prime is 506332136556451. The reversal of 506332136556344 is 443655631233605.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 506332136556344.

It is a congruent number.

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, 1531589114 + ... + 1531919670.

It is an arithmetic number, because the mean of its divisors is an integer number (8781074935200).

Almost surely, 2^{506332136556344} 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 506332136556344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561988795852800).

506332136556344 is an abundant number, since it is smaller than the sum of its proper divisors (617645455149256).

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

506332136556344 is a wasteful number, since it uses less digits than its factorization.

506332136556344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333733 (or 333729 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 56.

Adding to 506332136556344 its reverse (443655631233605), we get a palindrome (949987767789949).

The spelling of 506332136556344 in words is "five hundred six trillion, three hundred thirty-two billion, one hundred thirty-six million, five hundred fifty-six thousand, three hundred forty-four".