10024868448 has 360 divisors, whose sum is σ = 36321643512. Its totient is φ = 2695182336.

The previous prime is 10024868437. The next prime is 10024868449. The reversal of 10024868448 is 84486842001.

10024868448 is a `hidden beast` number, since 100 + 2 + 48 + 68 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024868449) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2156815 + ... + 2161457.

Almost surely, 2^10024868448 is an apocalyptic number.

10024868448 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 10024868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18160821756).

10024868448 is an abundant number, since it is smaller than the sum of its proper divisors (26296775064).

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

10024868448 is a wasteful number, since it uses less digits than its factorization.

10024868448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 10024868448 in words is "ten billion, twenty-four million, eight hundred sixty-eight thousand, four hundred forty-eight".