21334451342600 has 192 divisors, whose sum is σ = 54636400368000. Its totient is φ = 7682862182400.

The previous prime is 21334451342593. The next prime is 21334451342623. The reversal of 21334451342600 is 624315443312.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 488930384 + ... + 488974016.

It is an arithmetic number, because the mean of its divisors is an integer number (284564585250).

Almost surely, 2^{21334451342600} is an apocalyptic number.

21334451342600 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 21334451342600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318200184000).

21334451342600 is an abundant number, since it is smaller than the sum of its proper divisors (33301949025400).

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

21334451342600 is a wasteful number, since it uses less digits than its factorization.

21334451342600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45808 (or 45799 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 21334451342600 its reverse (624315443312), we get a palindrome (21958766785912).

The spelling of 21334451342600 in words is "twenty-one trillion, three hundred thirty-four billion, four hundred fifty-one million, three hundred forty-two thousand, six hundred".