214214545200 has 180 divisors, whose sum is σ = 728940910520. Its totient is φ = 53763563520.

The previous prime is 214214545169. The next prime is 214214545201. The reversal of 214214545200 is 2545412412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214214545201) 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 35 ways as a sum of consecutive naturals, for example, 37956 + ... + 655644.

Almost surely, 2^214214545200 is an apocalyptic number.

214214545200 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 214214545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364470455260).

214214545200 is an abundant number, since it is smaller than the sum of its proper divisors (514726365320).

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

214214545200 is a wasteful number, since it uses less digits than its factorization.

214214545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617744 (or 617716 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 214214545200 its reverse (2545412412), we get a palindrome (216759957612).

The spelling of 214214545200 in words is "two hundred fourteen billion, two hundred fourteen million, five hundred forty-five thousand, two hundred".