22548824640 has 672 divisors, whose sum is σ = 85207449600. Its totient is φ = 5456056320.

The previous prime is 22548824621. The next prime is 22548824647. The reversal of 22548824640 is 4642884522.

22548824640 is a `hidden beast` number, since 22 + 548 + 8 + 2 + 46 + 40 = 666.

It is a super-2 number, since 2×22548824640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22548824647) 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, 162221691 + ... + 162221829.

It is an arithmetic number, because the mean of its divisors is an integer number (126796800).

Almost surely, 2^22548824640 is an apocalyptic number.

22548824640 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 22548824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42603724800).

22548824640 is an abundant number, since it is smaller than the sum of its proper divisors (62658624960).

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

22548824640 is a wasteful number, since it uses less digits than its factorization.

22548824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

It can be divided in two parts, 2254882 and 4640, that added together give a palindrome (2259522).

The spelling of 22548824640 in words is "twenty-two billion, five hundred forty-eight million, eight hundred twenty-four thousand, six hundred forty".