22022224242048 has 192 divisors, whose sum is σ = 66810358305600. Its totient is φ = 6943566633984.

The previous prime is 22022224242043. The next prime is 22022224242061. The reversal of 22022224242048 is 84024242222022.

22022224242048 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 22 + 424 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022224242043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13291611 + ... + 14856357.

It is an arithmetic number, because the mean of its divisors is an integer number (347970616175).

Almost surely, 2^{22022224242048} 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 22022224242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33405179152800).

22022224242048 is an abundant number, since it is smaller than the sum of its proper divisors (44788134063552).

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

22022224242048 is a wasteful number, since it uses less digits than its factorization.

22022224242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565429 (or 1565414 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 22022224242048 in words is "twenty-two trillion, twenty-two billion, two hundred twenty-four million, two hundred forty-two thousand, forty-eight".