21813048576 has 432 divisors, whose sum is σ = 71996940288. Its totient is φ = 6531840000.

The previous prime is 21813048571. The next prime is 21813048577. The reversal of 21813048576 is 67584031812.

21813048576 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 30 + 48 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21813048571) 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 47 ways as a sum of consecutive naturals, for example, 86904451 + ... + 86904701.

It is an arithmetic number, because the mean of its divisors is an integer number (166659584).

Almost surely, 2^21813048576 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 21813048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998470144).

21813048576 is an abundant number, since it is smaller than the sum of its proper divisors (50183891712).

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

21813048576 is a wasteful number, since it uses less digits than its factorization.

21813048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 21813048576 in words is "twenty-one billion, eight hundred thirteen million, forty-eight thousand, five hundred seventy-six".