21144584834208 has 144 divisors (see below), whose sum is σ = 65638796198976. Its totient is φ = 6403295877120.

The previous prime is 21144584834183. The next prime is 21144584834239. The reversal of 21144584834208 is 80243848544112.

21144584834208 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 584 + 8 + 34 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21144584834208² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2725416 + ... + 7051032.

It is an arithmetic number, because the mean of its divisors is an integer number (455824973604).

Almost surely, 2^{21144584834208} 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 21144584834208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32819398099488).

21144584834208 is an abundant number, since it is smaller than the sum of its proper divisors (44494211364768).

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

21144584834208 is a wasteful number, since it uses less digits than its factorization.

21144584834208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327187 (or 4327176 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 21144584834208 in words is "twenty-one trillion, one hundred forty-four billion, five hundred eighty-four million, eight hundred thirty-four thousand, two hundred eight".