21946246156800 has 1440 divisors, whose sum is σ = 96683874693120. Its totient is φ = 4641612595200.

The previous prime is 21946246156759. The next prime is 21946246156801. The reversal of 21946246156800 is 865164264912.

It is a happy number.

21946246156800 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 624 + 6 + 1 + 5 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (21946246156801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 658812145 + ... + 658845455.

It is an arithmetic number, because the mean of its divisors is an integer number (67141579648).

Almost surely, 2^{21946246156800} is an apocalyptic number.

21946246156800 is a gapful number since it is divisible by the number (20) 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 21946246156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48341937346560).

21946246156800 is an abundant number, since it is smaller than the sum of its proper divisors (74737628536320).

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

21946246156800 is a wasteful number, since it uses less digits than its factorization.

21946246156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33414 (or 33390 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 21946246156800 in words is "twenty-one trillion, nine hundred forty-six billion, two hundred forty-six million, one hundred fifty-six thousand, eight hundred".