21446306664 has 128 divisors (see below), whose sum is σ = 57673728000. Its totient is φ = 6630624000.

The previous prime is 21446306627. The next prime is 21446306669. The reversal of 21446306664 is 46660364412.

It is not an unprimeable number, because it can be changed into a prime (21446306669) 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 31 ways as a sum of consecutive naturals, for example, 2995489 + ... + 3002639.

It is an arithmetic number, because the mean of its divisors is an integer number (450576000).

Almost surely, 2^21446306664 is an apocalyptic number.

21446306664 is a gapful number since it is divisible by the number (24) 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 21446306664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28836864000).

21446306664 is an abundant number, since it is smaller than the sum of its proper divisors (36227421336).

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

21446306664 is a wasteful number, since it uses less digits than its factorization.

21446306664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 21446306664 in words is "twenty-one billion, four hundred forty-six million, three hundred six thousand, six hundred sixty-four".