10448831205 has 24 divisors (see below), whose sum is σ = 18226678392. Its totient is φ = 5537211264.

The previous prime is 10448831153. The next prime is 10448831213. The reversal of 10448831205 is 50213884401.

10448831205 is a `hidden beast` number, since 1 + 0 + 448 + 8 + 3 + 1 + 205 = 666.

10448831205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1472026689 + 8976804516 = 38367^2 + 94746^2 .

It is not a de Polignac number, because 10448831205 - 2¹⁹ = 10448306917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10448831205.

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 23 ways as a sum of consecutive naturals, for example, 732414 + ... + 746543.

It is an arithmetic number, because the mean of its divisors is an integer number (759444933).

Almost surely, 2^10448831205 is an apocalyptic number.

10448831205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10448831205 is a deficient number, since it is larger than the sum of its proper divisors (7777847187).

10448831205 is a wasteful number, since it uses less digits than its factorization.

10448831205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479125 (or 1479122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10448831205 in words is "ten billion, four hundred forty-eight million, eight hundred thirty-one thousand, two hundred five".