10244864448 has 784 divisors, whose sum is σ = 39799889920. Its totient is φ = 2539579392.

The previous prime is 10244864389. The next prime is 10244864453. The reversal of 10244864448 is 84446844201.

10244864448 is a `hidden beast` number, since 102 + 4 + 48 + 64 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 80668161 + ... + 80668287.

Almost surely, 2^10244864448 is an apocalyptic number.

10244864448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899944960).

10244864448 is an abundant number, since it is smaller than the sum of its proper divisors (29555025472).

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

10244864448 is a wasteful number, since it uses less digits than its factorization.

10244864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 10244864448 in words is "ten billion, two hundred forty-four million, eight hundred sixty-four thousand, four hundred forty-eight".