21446311680 has 360 divisors, whose sum is σ = 78019839744. Its totient is φ = 5623603200.

The previous prime is 21446311661. The next prime is 21446311703. The reversal of 21446311680 is 8611364412.

21446311680 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 631 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6322785 + ... + 6326175.

Almost surely, 2^21446311680 is an apocalyptic number.

21446311680 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 21446311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39009919872).

21446311680 is an abundant number, since it is smaller than the sum of its proper divisors (56573528064).

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

21446311680 is an equidigital number, since it uses as much as digits as its factorization.

21446311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21446311680 in words is "twenty-one billion, four hundred forty-six million, three hundred eleven thousand, six hundred eighty".