22124648448 has 672 divisors, whose sum is σ = 79490829600. Its totient is φ = 6019743744.

The previous prime is 22124648443. The next prime is 22124648461. The reversal of 22124648448 is 84484642122.

22124648448 is a `hidden beast` number, since 2 + 2 + 124 + 6 + 484 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (22124648443) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 303077340 + ... + 303077412.

It is an arithmetic number, because the mean of its divisors is an integer number (118289925).

Almost surely, 2^22124648448 is an apocalyptic number.

22124648448 is a gapful number since it is divisible by the number (28) 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 22124648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39745414800).

22124648448 is an abundant number, since it is smaller than the sum of its proper divisors (57366181152).

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

22124648448 is an frugal number, since it uses more digits than its factorization.

22124648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The spelling of 22124648448 in words is "twenty-two billion, one hundred twenty-four million, six hundred forty-eight thousand, four hundred forty-eight".