214571444000000 has 252 divisors, whose sum is σ = 535599989935500. Its totient is φ = 85792358400000.

The previous prime is 214571443999999. The next prime is 214571444000113. The reversal of 214571444000000 is 444175412.

It can be written as a sum of positive squares in 14 ways, for example, as 72698951271424 + 141872492728576 = 8526368^2 + 11911024^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10755990026 + ... + 10756009974.

Almost surely, 2^{214571444000000} is an apocalyptic number.

214571444000000 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 214571444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267799994967750).

214571444000000 is an abundant number, since it is smaller than the sum of its proper divisors (321028545935500).

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

214571444000000 is an frugal number, since it uses more digits than its factorization.

214571444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22684 (or 22645 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

Adding to 214571444000000 its reverse (444175412), we get a palindrome (214571888175412).

The spelling of 214571444000000 in words is "two hundred fourteen trillion, five hundred seventy-one billion, four hundred forty-four million", and thus it is an aban number.