22314400400000 has 192 divisors, whose sum is σ = 56188940787000. Its totient is φ = 8825456640000.

The previous prime is 22314400399999. The next prime is 22314400400021. The reversal of 22314400400000 is 400441322.

It can be written as a sum of positive squares in 12 ways, for example, as 19922082389056 + 2392318010944 = 4463416^2 + 1546712^2 .

It is a super-3 number, since 3×22314400400000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 35286596 + ... + 35913404.

Almost surely, 2^{22314400400000} is an apocalyptic number.

22314400400000 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 22314400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094470393500).

22314400400000 is an abundant number, since it is smaller than the sum of its proper divisors (33874540387000).

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

22314400400000 is an frugal number, since it uses more digits than its factorization.

22314400400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626937 (or 626905 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22314400400000 its reverse (400441322), we get a palindrome (22314800841322).

The spelling of 22314400400000 in words is "twenty-two trillion, three hundred fourteen billion, four hundred million, four hundred thousand".