1048221748224 has 1056 divisors, whose sum is σ = 3839019129600. Its totient is φ = 280921374720.

The previous prime is 1048221748207. The next prime is 1048221748289. The reversal of 1048221748224 is 4228471228401.

1048221748224 is a `hidden beast` number, since 1 + 0 + 482 + 2 + 1 + 74 + 82 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1048221748224.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4967875479 + ... + 4967875689.

Almost surely, 2^{1048221748224} is an apocalyptic number.

1048221748224 is a gapful number since it is divisible by the number (14) 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 1048221748224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919509564800).

1048221748224 is an abundant number, since it is smaller than the sum of its proper divisors (2790797381376).

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

1048221748224 is a wasteful number, since it uses less digits than its factorization.

1048221748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 1048221748224 in words is "one trillion, forty-eight billion, two hundred twenty-one million, seven hundred forty-eight thousand, two hundred twenty-four".