21984442595712 has 144 divisors (see below), whose sum is σ = 65692362422700. Its totient is φ = 7328147251968.

The previous prime is 21984442595701. The next prime is 21984442595723. The reversal of 21984442595712 is 21759524448912.

21984442595712 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 4 + 4 + 4 + 2 + 59 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21984442595701) and next prime (21984442595723).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21984442595712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12249162 + ... + 13928777.

Almost surely, 2^{21984442595712} is an apocalyptic number.

It is an amenable number.

21984442595712 is an abundant number, since it is smaller than the sum of its proper divisors (43707919826988).

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

21984442595712 is an frugal number, since it uses more digits than its factorization.

21984442595712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26177977 (or 26177944 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

It can be divided in two parts, 2198444 and 2595712, that added together give a triangular number (4794156 = T₃₀₉₆).

The spelling of 21984442595712 in words is "twenty-one trillion, nine hundred eighty-four billion, four hundred forty-two million, five hundred ninety-five thousand, seven hundred twelve".