22021439311872 has 1872 divisors, whose sum is σ = 88410439458432. Its totient is φ = 5096716369920.

The previous prime is 22021439311871. The next prime is 22021439311889. The reversal of 22021439311872 is 27811393412022.

22021439311872 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 439 + 31 + 187 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021439311871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173397159873 + ... + 173397159999.

It is an arithmetic number, because the mean of its divisors is an integer number (47227798856).

Almost surely, 2^{22021439311872} is an apocalyptic number.

22021439311872 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 22021439311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44205219729216).

22021439311872 is an abundant number, since it is smaller than the sum of its proper divisors (66389000146560).

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

22021439311872 is a wasteful number, since it uses less digits than its factorization.

22021439311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22021439311872 in words is "twenty-two trillion, twenty-one billion, four hundred thirty-nine million, three hundred eleven thousand, eight hundred seventy-two".