21946848768 has 480 divisors, whose sum is σ = 75445546176. Its totient is φ = 6072827904.

The previous prime is 21946848767. The next prime is 21946848773. The reversal of 21946848768 is 86784864912.

21946848768 is a `hidden beast` number, since 2 + 1 + 94 + 6 + 8 + 487 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21946848761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23421996 + ... + 23422932.

Almost surely, 2^21946848768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21946848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37722773088).

21946848768 is an abundant number, since it is smaller than the sum of its proper divisors (53498697408).

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

21946848768 is a wasteful number, since it uses less digits than its factorization.

21946848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 21946848768 in words is "twenty-one billion, nine hundred forty-six million, eight hundred forty-eight thousand, seven hundred sixty-eight".