22753640448 has 544 divisors, whose sum is σ = 84556523520. Its totient is φ = 5874647040.

The previous prime is 22753640443. The next prime is 22753640449. The reversal of 22753640448 is 84404635722.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22753640443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136249261 + ... + 136249427.

Almost surely, 2^22753640448 is an apocalyptic number.

22753640448 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 22753640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42278261760).

22753640448 is an abundant number, since it is smaller than the sum of its proper divisors (61802883072).

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

22753640448 is an equidigital number, since it uses as much as digits as its factorization.

22753640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 22753640448 in words is "twenty-two billion, seven hundred fifty-three million, six hundred forty thousand, four hundred forty-eight".