22104451152 has 400 divisors, whose sum is σ = 75105341760. Its totient is φ = 6223392000.

The previous prime is 22104451081. The next prime is 22104451157. The reversal of 22104451152 is 25115440122.

It is a happy number.

22104451152 is a `hidden beast` number, since 2 + 210 + 445 + 1 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22104451157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104760327 + ... + 104760537.

Almost surely, 2^22104451152 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 22104451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37552670880).

22104451152 is an abundant number, since it is smaller than the sum of its proper divisors (53000890608).

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

22104451152 is a wasteful number, since it uses less digits than its factorization.

22104451152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 22104451152 its reverse (25115440122), we get a palindrome (47219891274).

The spelling of 22104451152 in words is "twenty-two billion, one hundred four million, four hundred fifty-one thousand, one hundred fifty-two".