22024493568 has 960 divisors, whose sum is σ = 87224417280. Its totient is φ = 5419560960.

The previous prime is 22024493563. The next prime is 22024493573. The reversal of 22024493568 is 86539442022.

22024493568 is a `hidden beast` number, since 2 + 20 + 24 + 49 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (22024493563) and next prime (22024493573).

It is not an unprimeable number, because it can be changed into a prime (22024493563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1159183863 + ... + 1159183881.

It is an arithmetic number, because the mean of its divisors is an integer number (90858768).

Almost surely, 2^22024493568 is an apocalyptic number.

22024493568 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 22024493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43612208640).

22024493568 is an abundant number, since it is smaller than the sum of its proper divisors (65199923712).

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

22024493568 is an frugal number, since it uses more digits than its factorization.

22024493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22024493568 in words is "twenty-two billion, twenty-four million, four hundred ninety-three thousand, five hundred sixty-eight".