22133416704 has 288 divisors, whose sum is σ = 70703431680. Its totient is φ = 6013440000.

The previous prime is 22133416681. The next prime is 22133416727. The reversal of 22133416704 is 40761433122.

It is an interprime number because it is at equal distance from previous prime (22133416681) and next prime (22133416727).

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 31 ways as a sum of consecutive naturals, for example, 9831579 + ... + 9833829.

Almost surely, 2^22133416704 is an apocalyptic number.

22133416704 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 22133416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35351715840).

22133416704 is an abundant number, since it is smaller than the sum of its proper divisors (48570014976).

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

22133416704 is a wasteful number, since it uses less digits than its factorization.

22133416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 22133416704 its reverse (40761433122), we get a palindrome (62894849826).

The spelling of 22133416704 in words is "twenty-two billion, one hundred thirty-three million, four hundred sixteen thousand, seven hundred four".