22848583680 has 720 divisors, whose sum is σ = 89224775640. Its totient is φ = 5589762048.

The previous prime is 22848583657. The next prime is 22848583699. The reversal of 22848583680 is 8638584822.

22848583680 is a `hidden beast` number, since 2 + 2 + 8 + 485 + 83 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140175279 + ... + 140175441.

Almost surely, 2^22848583680 is an apocalyptic number.

22848583680 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 22848583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44612387820).

22848583680 is an abundant number, since it is smaller than the sum of its proper divisors (66376191960).

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

22848583680 is a wasteful number, since it uses less digits than its factorization.

22848583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 22848583680 in words is "twenty-two billion, eight hundred forty-eight million, five hundred eighty-three thousand, six hundred eighty".