22023840384 has 768 divisors, whose sum is σ = 83832053760. Its totient is φ = 5598720000.

The previous prime is 22023840361. The next prime is 22023840407. The reversal of 22023840384 is 48304832022.

It is a happy number.

22023840384 is a `hidden beast` number, since 2 + 2 + 0 + 238 + 40 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (22023840361) and next prime (22023840407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87744259 + ... + 87744509.

It is an arithmetic number, because the mean of its divisors is an integer number (109156320).

Almost surely, 2^22023840384 is an apocalyptic number.

22023840384 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 22023840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41916026880).

22023840384 is an abundant number, since it is smaller than the sum of its proper divisors (61808213376).

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

22023840384 is a wasteful number, since it uses less digits than its factorization.

22023840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22023840384 in words is "twenty-two billion, twenty-three million, eight hundred forty thousand, three hundred eighty-four".