21964336992 has 144 divisors (see below), whose sum is σ = 67670497440. Its totient is φ = 6717597696.

The previous prime is 21964336981. The next prime is 21964336997. The reversal of 21964336992 is 29963346912.

21964336992 is a `hidden beast` number, since 2 + 196 + 4 + 3 + 369 + 92 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21964336997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607684 + ... + 642812.

It is an arithmetic number, because the mean of its divisors is an integer number (469934010).

Almost surely, 2^21964336992 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 21964336992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33835248720).

21964336992 is an abundant number, since it is smaller than the sum of its proper divisors (45706160448).

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

21964336992 is a wasteful number, since it uses less digits than its factorization.

21964336992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35325 (or 35314 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 21964336992 in words is "twenty-one billion, nine hundred sixty-four million, three hundred thirty-six thousand, nine hundred ninety-two".