22505269248 has 576 divisors, whose sum is σ = 82361784960. Its totient is φ = 5750784000.

The previous prime is 22505269231. The next prime is 22505269249. The reversal of 22505269248 is 84296250522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (22505269249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143345586 + ... + 143345742.

It is an arithmetic number, because the mean of its divisors is an integer number (142989210).

Almost surely, 2^22505269248 is an apocalyptic number.

22505269248 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 22505269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41180892480).

22505269248 is an abundant number, since it is smaller than the sum of its proper divisors (59856515712).

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

22505269248 is a wasteful number, since it uses less digits than its factorization.

22505269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

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

The spelling of 22505269248 in words is "twenty-two billion, five hundred five million, two hundred sixty-nine thousand, two hundred forty-eight".