22281225984 has 288 divisors, whose sum is σ = 70656828480. Its totient is φ = 6987202560.

The previous prime is 22281225979. The next prime is 22281225997. The reversal of 22281225984 is 48952218222.

22281225984 is a `hidden beast` number, since 22 + 28 + 12 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9516654 + ... + 9518994.

It is an arithmetic number, because the mean of its divisors is an integer number (245336210).

Almost surely, 2^22281225984 is an apocalyptic number.

22281225984 is a gapful number since it is divisible by the number (24) 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 22281225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35328414240).

22281225984 is an abundant number, since it is smaller than the sum of its proper divisors (48375602496).

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

22281225984 is an frugal number, since it uses more digits than its factorization.

22281225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2363 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 22281225984 in words is "twenty-two billion, two hundred eighty-one million, two hundred twenty-five thousand, nine hundred eighty-four".