22459004568 has 1152 divisors, whose sum is σ = 91699776000. Its totient is φ = 5029516800.

The previous prime is 22459004537. The next prime is 22459004569. The reversal of 22459004568 is 86540095422.

22459004568 is a `hidden beast` number, since 2 + 2 + 4 + 590 + 0 + 4 + 56 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22459004569) 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 287 ways as a sum of consecutive naturals, for example, 316323973 + ... + 316324043.

It is an arithmetic number, because the mean of its divisors is an integer number (79600500).

Almost surely, 2^22459004568 is an apocalyptic number.

22459004568 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 22459004568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849888000).

22459004568 is an abundant number, since it is smaller than the sum of its proper divisors (69240771432).

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

22459004568 is a wasteful number, since it uses less digits than its factorization.

22459004568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 22459004568 in words is "twenty-two billion, four hundred fifty-nine million, four thousand, five hundred sixty-eight".