22368947328 has 768 divisors, whose sum is σ = 83523148800. Its totient is φ = 5589762048.

The previous prime is 22368947309. The next prime is 22368947339. The reversal of 22368947328 is 82374986322.

22368947328 is a `hidden beast` number, since 2 + 236 + 89 + 4 + 7 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 283151193 + ... + 283151271.

It is an arithmetic number, because the mean of its divisors is an integer number (108754100).

Almost surely, 2^22368947328 is an apocalyptic number.

22368947328 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 22368947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41761574400).

22368947328 is an abundant number, since it is smaller than the sum of its proper divisors (61154201472).

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

22368947328 is a wasteful number, since it uses less digits than its factorization.

22368947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 22368947328 in words is "twenty-two billion, three hundred sixty-eight million, nine hundred forty-seven thousand, three hundred twenty-eight".