10114413450320 has 20 divisors (see below), whose sum is σ = 23516011272180. Its totient is φ = 4045765380096.

The previous prime is 10114413450311. The next prime is 10114413450359. The reversal of 10114413450320 is 2305431441101.

It can be written as a sum of positive squares in 2 ways, for example, as 3685186659856 + 6429226790464 = 1919684^2 + 2535592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 63215083985 + ... + 63215084144.

It is an arithmetic number, because the mean of its divisors is an integer number (1175800563609).

Almost surely, 2^{10114413450320} is an apocalyptic number.

10114413450320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114413450320 is an abundant number, since it is smaller than the sum of its proper divisors (13401597821860).

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

10114413450320 is a wasteful number, since it uses less digits than its factorization.

10114413450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126430168142 (or 126430168136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10114413450320 its reverse (2305431441101), we get a palindrome (12419844891421).

The spelling of 10114413450320 in words is "ten trillion, one hundred fourteen billion, four hundred thirteen million, four hundred fifty thousand, three hundred twenty".