21744538021332 has 432 divisors, whose sum is σ = 67297645134720. Its totient is φ = 5894441280000.

The previous prime is 21744538021309. The next prime is 21744538021379. The reversal of 21744538021332 is 23312083544712.

21744538021332 is a `hidden beast` number, since 2 + 1 + 74 + 4 + 538 + 0 + 2 + 13 + 32 = 666.

It is a super-2 number, since 2×21744538021332² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1115037582 + ... + 1115057082.

It is an arithmetic number, because the mean of its divisors is an integer number (155781585960).

Almost surely, 2^{21744538021332} 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 21744538021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33648822567360).

21744538021332 is an abundant number, since it is smaller than the sum of its proper divisors (45553107113388).

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

21744538021332 is a wasteful number, since it uses less digits than its factorization.

21744538021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932 (or 19920 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 21744538021332 in words is "twenty-one trillion, seven hundred forty-four billion, five hundred thirty-eight million, twenty-one thousand, three hundred thirty-two".