21552334848 has 576 divisors, whose sum is σ = 73264988160. Its totient is φ = 6270566400.

The previous prime is 21552334801. The next prime is 21552334877. The reversal of 21552334848 is 84843325512.

21552334848 is a `hidden beast` number, since 2 + 15 + 523 + 34 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×21552334848³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169703361 + ... + 169703487.

It is an arithmetic number, because the mean of its divisors is an integer number (127196160).

Almost surely, 2^21552334848 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 21552334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632494080).

21552334848 is an abundant number, since it is smaller than the sum of its proper divisors (51712653312).

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

21552334848 is a wasteful number, since it uses less digits than its factorization.

21552334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

It can be divided in two parts, 2155233 and 4848, that added together give a triangular number (2160081 = T₂₀₇₈).

The spelling of 21552334848 in words is "twenty-one billion, five hundred fifty-two million, three hundred thirty-four thousand, eight hundred forty-eight".