505106014343441 has 48 divisors (see below), whose sum is σ = 595112621875200. Its totient is φ = 427407868242432.

The previous prime is 505106014343389. The next prime is 505106014343449. The reversal of 505106014343441 is 144343410601505.

It is not a de Polignac number, because 505106014343441 - 2¹⁰ = 505106014342417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505106014343449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7535150861 + ... + 7535217893.

It is an arithmetic number, because the mean of its divisors is an integer number (12398179622400).

Almost surely, 2^{505106014343441} is an apocalyptic number.

It is an amenable number.

505106014343441 is a deficient number, since it is larger than the sum of its proper divisors (90006607531759).

505106014343441 is a wasteful number, since it uses less digits than its factorization.

505106014343441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69838 (or 69831 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 505106014343441 its reverse (144343410601505), we get a palindrome (649449424944946).

The spelling of 505106014343441 in words is "five hundred five trillion, one hundred six billion, fourteen million, three hundred forty-three thousand, four hundred forty-one".