21344345233200 has 720 divisors, whose sum is σ = 85620606394752. Its totient is φ = 4866432000000.

The previous prime is 21344345233157. The next prime is 21344345233213. The reversal of 21344345233200 is 233254344312.

21344345233200 is a `hidden beast` number, since 2 + 1 + 3 + 443 + 4 + 5 + 2 + 3 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 976802275 + ... + 976824125.

Almost surely, 2^{21344345233200} is an apocalyptic number.

21344345233200 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 21344345233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810303197376).

21344345233200 is an abundant number, since it is smaller than the sum of its proper divisors (64276261161552).

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

21344345233200 is a wasteful number, since it uses less digits than its factorization.

21344345233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23354 (or 23340 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 21344345233200 its reverse (233254344312), we get a palindrome (21577599577512).

The spelling of 21344345233200 in words is "twenty-one trillion, three hundred forty-four billion, three hundred forty-five million, two hundred thirty-three thousand, two hundred".