21554848224 has 768 divisors, whose sum is σ = 83452723200. Its totient is φ = 5253838848.

The previous prime is 21554848193. The next prime is 21554848253. The reversal of 21554848224 is 42284845512.

It is a happy number.

21554848224 is a `hidden beast` number, since 2 + 1 + 5 + 548 + 4 + 82 + 24 = 666.

It is a super-2 number, since 2×21554848224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21554848224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70211079 + ... + 70211385.

It is an arithmetic number, because the mean of its divisors is an integer number (108662400).

Almost surely, 2^21554848224 is an apocalyptic number.

21554848224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21554848224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726361600).

21554848224 is an abundant number, since it is smaller than the sum of its proper divisors (61897874976).

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

21554848224 is a wasteful number, since it uses less digits than its factorization.

21554848224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its digits is 819200, while the sum is 45.

The spelling of 21554848224 in words is "twenty-one billion, five hundred fifty-four million, eight hundred forty-eight thousand, two hundred twenty-four".