21468002304 has 384 divisors, whose sum is σ = 68245632000. Its totient is φ = 5997035520.

The previous prime is 21468002263. The next prime is 21468002341. The reversal of 21468002304 is 40320086412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128550829 + ... + 128550995.

It is an arithmetic number, because the mean of its divisors is an integer number (177723000).

Almost surely, 2^21468002304 is an apocalyptic number.

21468002304 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 21468002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816000).

21468002304 is an abundant number, since it is smaller than the sum of its proper divisors (46777629696).

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

21468002304 is an equidigital number, since it uses as much as digits as its factorization.

21468002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 21468002304 its reverse (40320086412), we get a palindrome (61788088716).

The spelling of 21468002304 in words is "twenty-one billion, four hundred sixty-eight million, two thousand, three hundred four".