21246451983360 has 264 divisors, whose sum is σ = 73702105973496. Its totient is φ = 5659278704640.

The previous prime is 21246451983353. The next prime is 21246451983377. The reversal of 21246451983360 is 6338915464212.

It is a happy number.

21246451983360 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 64 + 519 + 8 + 3 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 301111197696 + 20945340785664 = 548736^2 + 4576608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21246451983297 and 21246451983306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40334802 + ... + 40858158.

It is an arithmetic number, because the mean of its divisors is an integer number (279174643839).

Almost surely, 2^{21246451983360} is an apocalyptic number.

21246451983360 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 21246451983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36851052986748).

21246451983360 is an abundant number, since it is smaller than the sum of its proper divisors (52455653990136).

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

21246451983360 is a wasteful number, since it uses less digits than its factorization.

21246451983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524269 (or 524248 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 21246451983360 in words is "twenty-one trillion, two hundred forty-six billion, four hundred fifty-one million, nine hundred eighty-three thousand, three hundred sixty".