21846423168 has 384 divisors, whose sum is σ = 68196710400. Its totient is φ = 6953610240.

The previous prime is 21846423167. The next prime is 21846423187. The reversal of 21846423168 is 86132464812.

21846423168 is a `hidden beast` number, since 2 + 1 + 8 + 464 + 23 + 168 = 666.

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

It is a super-3 number, since 3×21846423168³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21846423163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134027055 + ... + 134027217.

It is an arithmetic number, because the mean of its divisors is an integer number (177595600).

Almost surely, 2^21846423168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21846423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34098355200).

21846423168 is an abundant number, since it is smaller than the sum of its proper divisors (46350287232).

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

21846423168 is a wasteful number, since it uses less digits than its factorization.

21846423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 21846423168 in words is "twenty-one billion, eight hundred forty-six million, four hundred twenty-three thousand, one hundred sixty-eight".