10248268644 has 72 divisors (see below), whose sum is σ = 27878950008. Its totient is φ = 3162424320.

The previous prime is 10248268637. The next prime is 10248268669. The reversal of 10248268644 is 44686284201.

10248268644 is a `hidden beast` number, since 102 + 482 + 6 + 8 + 64 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29484900 + 10218783744 = 5430^2 + 101088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10248268644.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99927 + ... + 174590.

It is an arithmetic number, because the mean of its divisors is an integer number (387207639).

Almost surely, 2^10248268644 is an apocalyptic number.

It is an amenable number.

10248268644 is an abundant number, since it is smaller than the sum of its proper divisors (17630681364).

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

10248268644 is a wasteful number, since it uses less digits than its factorization.

10248268644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274605 (or 274600 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 10248268644 in words is "ten billion, two hundred forty-eight million, two hundred sixty-eight thousand, six hundred forty-four".