22214320128 has 1008 divisors, whose sum is σ = 89737423776. Its totient is φ = 5202247680.

The previous prime is 22214320109. The next prime is 22214320129. The reversal of 22214320128 is 82102341222.

22214320128 is a `hidden beast` number, since 2 + 2 + 214 + 320 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (22214320129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516612075 + ... + 516612117.

It is an arithmetic number, because the mean of its divisors is an integer number (89025222).

Almost surely, 2^22214320128 is an apocalyptic number.

22214320128 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 22214320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44868711888).

22214320128 is an abundant number, since it is smaller than the sum of its proper divisors (67523103648).

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

22214320128 is a wasteful number, since it uses less digits than its factorization.

22214320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22214320128 in words is "twenty-two billion, two hundred fourteen million, three hundred twenty thousand, one hundred twenty-eight".