10068443221248 has 432 divisors, whose sum is σ = 30668768073216. Its totient is φ = 3172295393280.

The previous prime is 10068443221219. The next prime is 10068443221261. The reversal of 10068443221248 is 84212234486001.

10068443221248 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 84 + 4 + 322 + 1 + 248 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859296286 + ... + 859308002.

It is an arithmetic number, because the mean of its divisors is an integer number (70992518688).

Almost surely, 2^{10068443221248} is an apocalyptic number.

10068443221248 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 10068443221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334384036608).

10068443221248 is an abundant number, since it is smaller than the sum of its proper divisors (20600324851968).

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

10068443221248 is a wasteful number, since it uses less digits than its factorization.

10068443221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12050 (or 12033 counting only the distinct ones).

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

The spelling of 10068443221248 in words is "ten trillion, sixty-eight billion, four hundred forty-three million, two hundred twenty-one thousand, two hundred forty-eight".