214333201000 has 128 divisors (see below), whose sum is σ = 513053798400. Its totient is φ = 83785363200.

The previous prime is 214333200959. The next prime is 214333201007. The reversal of 214333201000 is 102333412.

It is not an unprimeable number, because it can be changed into a prime (214333201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8496406 + ... + 8521594.

It is an arithmetic number, because the mean of its divisors is an integer number (4008232800).

Almost surely, 2^214333201000 is an apocalyptic number.

214333201000 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 214333201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256526899200).

214333201000 is an abundant number, since it is smaller than the sum of its proper divisors (298720597400).

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

214333201000 is a wasteful number, since it uses less digits than its factorization.

214333201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25404 (or 25390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 214333201000 its reverse (102333412), we get a palindrome (214435534412).

The spelling of 214333201000 in words is "two hundred fourteen billion, three hundred thirty-three million, two hundred one thousand".