22120616448 has 270 divisors, whose sum is σ = 74502740169. Its totient is φ = 6299983872.

The previous prime is 22120616447. The next prime is 22120616473. The reversal of 22120616448 is 84461602122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22120616448 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 0 + 6 + 1 + 644 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12821485824 + 9299130624 = 113232^2 + 96432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22120616443) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70672740 + ... + 70673052.

Almost surely, 2^22120616448 is an apocalyptic number.

22120616448 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 22120616448

22120616448 is an abundant number, since it is smaller than the sum of its proper divisors (52382123721).

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

22120616448 is an frugal number, since it uses more digits than its factorization.

22120616448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22120616448 in words is "twenty-two billion, one hundred twenty million, six hundred sixteen thousand, four hundred forty-eight".