21844652873472 has 2880 divisors, whose sum is σ = 84244331888640. Its totient is φ = 5530639564800.

The previous prime is 21844652873467. The next prime is 21844652873479. The reversal of 21844652873472 is 27437825644812.

21844652873472 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 4 + 6 + 5 + 287 + 347 + 2 = 666.

It is a super-3 number, since 3×21844652873472³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21844652873479) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 172005140673 + ... + 172005140799.

It is an arithmetic number, because the mean of its divisors is an integer number (29251504128).

Almost surely, 2^{21844652873472} is an apocalyptic number.

21844652873472 is a gapful number since it is divisible by the number (22) 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 21844652873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42122165944320).

21844652873472 is an abundant number, since it is smaller than the sum of its proper divisors (62399679015168).

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

21844652873472 is a wasteful number, since it uses less digits than its factorization.

21844652873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 21844652873472 in words is "twenty-one trillion, eight hundred forty-four billion, six hundred fifty-two million, eight hundred seventy-three thousand, four hundred seventy-two".