22424114660256 has 144 divisors (see below), whose sum is σ = 64330431636744. Its totient is φ = 7409126080512.

The previous prime is 22424114660251. The next prime is 22424114660257. The reversal of 22424114660256 is 65206641142422.

22424114660256 is a `hidden beast` number, since 2 + 2 + 4 + 24 + 1 + 14 + 6 + 602 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16486685744400 + 5937428915856 = 4060380^2 + 2436684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (22424114660251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14668560 + ... + 16124976.

Almost surely, 2^{22424114660256} 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 22424114660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32165215818372).

22424114660256 is an abundant number, since it is smaller than the sum of its proper divisors (41906316976488).

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

22424114660256 is a wasteful number, since it uses less digits than its factorization.

22424114660256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456903 (or 1456892 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 22424114660256 in words is "twenty-two trillion, four hundred twenty-four billion, one hundred fourteen million, six hundred sixty thousand, two hundred fifty-six".