10334144240225 has 24 divisors (see below), whose sum is σ = 13801163070072. Its totient is φ = 7630756531200.

The previous prime is 10334144240213. The next prime is 10334144240279. The reversal of 10334144240225 is 52204244143301.

It can be written as a sum of positive squares in 12 ways, for example, as 590463149056 + 9743681091169 = 768416^2 + 3121487^2 .

It is not a de Polignac number, because 10334144240225 - 2¹⁶ = 10334144174689 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808089 + ... + 5343561.

It is an arithmetic number, because the mean of its divisors is an integer number (575048461253).

Almost surely, 2^{10334144240225} is an apocalyptic number.

It is an amenable number.

10334144240225 is a deficient number, since it is larger than the sum of its proper divisors (3467018829847).

10334144240225 is a wasteful number, since it uses less digits than its factorization.

10334144240225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548037 (or 2548032 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 10334144240225 its reverse (52204244143301), we get a palindrome (62538388383526).

The spelling of 10334144240225 in words is "ten trillion, three hundred thirty-four billion, one hundred forty-four million, two hundred forty thousand, two hundred twenty-five".