22223545344 has 1056 divisors, whose sum is σ = 90256651520. Its totient is φ = 5255331840.

The previous prime is 22223545343. The next prime is 22223545349. The reversal of 22223545344 is 44354532222.

It is a tau number, because it is divible by the number of its divisors (1056).

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

Its product of digits (230400) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 22223545299 and 22223545308.

It is not an unprimeable number, because it can be changed into a prime (22223545343) 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, 304432092 + ... + 304432164.

Almost surely, 2^22223545344 is an apocalyptic number.

22223545344 is a gapful number since it is divisible by the number (24) 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 22223545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45128325760).

22223545344 is an abundant number, since it is smaller than the sum of its proper divisors (68033106176).

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

22223545344 is a wasteful number, since it uses less digits than its factorization.

22223545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The spelling of 22223545344 in words is "twenty-two billion, two hundred twenty-three million, five hundred forty-five thousand, three hundred forty-four".