22441574880 has 576 divisors, whose sum is σ = 88565218560. Its totient is φ = 5332967424.

The previous prime is 22441574843. The next prime is 22441574921. The reversal of 22441574880 is 8847514422.

22441574880 is a `hidden beast` number, since 224 + 415 + 7 + 4 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12557347 + ... + 12559133.

It is an arithmetic number, because the mean of its divisors is an integer number (153759060).

Almost surely, 2^22441574880 is an apocalyptic number.

22441574880 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 22441574880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44282609280).

22441574880 is an abundant number, since it is smaller than the sum of its proper divisors (66123643680).

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

22441574880 is a wasteful number, since it uses less digits than its factorization.

22441574880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 22441574880 in words is "twenty-two billion, four hundred forty-one million, five hundred seventy-four thousand, eight hundred eighty".