22966828416 has 288 divisors, whose sum is σ = 77343060600. Its totient is φ = 6522421248.

The previous prime is 22966828393. The next prime is 22966828421. The reversal of 22966828416 is 61482866922.

22966828416 is a `hidden beast` number, since 2 + 296 + 68 + 284 + 16 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10103056 + ... + 10105328.

Almost surely, 2^22966828416 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 22966828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38671530300).

22966828416 is an abundant number, since it is smaller than the sum of its proper divisors (54376232184).

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

22966828416 is a wasteful number, since it uses less digits than its factorization.

22966828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2464 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 22966828416 in words is "twenty-two billion, nine hundred sixty-six million, eight hundred twenty-eight thousand, four hundred sixteen".