214242023200000 has 216 divisors, whose sum is σ = 547562015272440. Its totient is φ = 83606630400000.

The previous prime is 214242023199949. The next prime is 214242023200001. The reversal of 214242023200000 is 2320242412.

It can be written as a sum of positive squares in 12 ways, for example, as 206730564784384 + 7511458415616 = 14378128^2 + 2740704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214242023200001) by changing a digit.

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, 29534116 + ... + 36065884.

It is an arithmetic number, because the mean of its divisors is an integer number (2535009329965).

Almost surely, 2^{214242023200000} is an apocalyptic number.

214242023200000 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 214242023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273781007636220).

214242023200000 is an abundant number, since it is smaller than the sum of its proper divisors (333319992072440).

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

214242023200000 is an frugal number, since it uses more digits than its factorization.

214242023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531851 (or 6531817 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 214242023200000 its reverse (2320242412), we get a palindrome (214244343442412).

The spelling of 214242023200000 in words is "two hundred fourteen trillion, two hundred forty-two billion, twenty-three million, two hundred thousand".