22443264000 has 768 divisors, whose sum is σ = 88310476800. Its totient is φ = 5603328000.

The previous prime is 22443263959. The next prime is 22443264073. The reversal of 22443264000 is 46234422.

22443264000 is a `hidden beast` number, since 224 + 4 + 32 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-4 number, since 4×22443264000⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117503905 + ... + 117504095.

It is an arithmetic number, because the mean of its divisors is an integer number (114987600).

Almost surely, 2^22443264000 is an apocalyptic number.

22443264000 is a gapful number since it is divisible by the number (20) 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 22443264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155238400).

22443264000 is an abundant number, since it is smaller than the sum of its proper divisors (65867212800).

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

22443264000 is a wasteful number, since it uses less digits than its factorization.

22443264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22443264000 its reverse (46234422), we get a palindrome (22489498422).

The spelling of 22443264000 in words is "twenty-two billion, four hundred forty-three million, two hundred sixty-four thousand".