22354314400000 has 324 divisors, whose sum is σ = 61304542828452. Its totient is φ = 8128806400000.

The previous prime is 22354314399997. The next prime is 22354314400037. The reversal of 22354314400000 is 441345322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21825192001536 + 529122398464 = 4671744^2 + 727408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96684534 + ... + 96915466.

Almost surely, 2^{22354314400000} is an apocalyptic number.

22354314400000 is a gapful number since it is divisible by the number (20) 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 22354314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30652271414226).

22354314400000 is an abundant number, since it is smaller than the sum of its proper divisors (38950228428452).

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

22354314400000 is an frugal number, since it uses more digits than its factorization.

22354314400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230996 (or 230951 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 22354314400000 its reverse (441345322), we get a palindrome (22354755745322).

The spelling of 22354314400000 in words is "twenty-two trillion, three hundred fifty-four billion, three hundred fourteen million, four hundred thousand".