22414948128 has 192 divisors, whose sum is σ = 69651187200. Its totient is φ = 6992697600.

The previous prime is 22414948121. The next prime is 22414948217. The reversal of 22414948128 is 82184941422.

22414948128 is a `hidden beast` number, since 2 + 2 + 4 + 149 + 481 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22414948121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354303 + ... + 1370753.

It is an arithmetic number, because the mean of its divisors is an integer number (362766600).

Almost surely, 2^22414948128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22414948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34825593600).

22414948128 is an abundant number, since it is smaller than the sum of its proper divisors (47236239072).

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

22414948128 is a wasteful number, since it uses less digits than its factorization.

22414948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16572 (or 16558 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 22414948128 in words is "twenty-two billion, four hundred fourteen million, nine hundred forty-eight thousand, one hundred twenty-eight".