10265144224 has 24 divisors (see below), whose sum is σ = 20321168868. Its totient is φ = 5104212480.

The previous prime is 10265144179. The next prime is 10265144243. The reversal of 10265144224 is 42244156201.

10265144224 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 2 ways, for example, as 10237392400 + 27751824 = 101180^2 + 5268^2 .

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, 880357 + ... + 891940.

Almost surely, 2^10265144224 is an apocalyptic number.

It is an amenable number.

10265144224 is a deficient number, since it is larger than the sum of its proper divisors (10056024644).

10265144224 is a wasteful number, since it uses less digits than its factorization.

10265144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772488 (or 1772480 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 10265144224 in words is "ten billion, two hundred sixty-five million, one hundred forty-four thousand, two hundred twenty-four".