531234301441344 has 224 divisors, whose sum is σ = 1484188951311360. Its totient is φ = 167358378283008.

The previous prime is 531234301441289. The next prime is 531234301441391. The reversal of 531234301441344 is 443144103432135.

It is a junction number, because it is equal to n+sod(n) for n = 531234301441296 and 531234301441305.

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, 560371647 + ... + 561318849.

It is an arithmetic number, because the mean of its divisors is an integer number (6625843532640).

Almost surely, 2^{531234301441344} 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 531234301441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742094475655680).

531234301441344 is an abundant number, since it is smaller than the sum of its proper divisors (952954649870016).

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

531234301441344 is a wasteful number, since it uses less digits than its factorization.

531234301441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948757 (or 948747 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 531234301441344 its reverse (443144103432135), we get a palindrome (974378404873479).

The spelling of 531234301441344 in words is "five hundred thirty-one trillion, two hundred thirty-four billion, three hundred one million, four hundred forty-one thousand, three hundred forty-four".