214100200350 has 180 divisors, whose sum is σ = 604835966592. Its totient is φ = 56153476800.

The previous prime is 214100200333. The next prime is 214100200351. The reversal of 214100200350 is 53002001412.

214100200350 is a `hidden beast` number, since 2 + 1 + 410 + 0 + 200 + 3 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214100200351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15062947 + ... + 15077153.

Almost surely, 2^214100200350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214100200350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302417983296).

214100200350 is an abundant number, since it is smaller than the sum of its proper divisors (390735766242).

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

214100200350 is a wasteful number, since it uses less digits than its factorization.

214100200350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353 (or 14278 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 214100200350 its reverse (53002001412), we get a palindrome (267102201762).

The spelling of 214100200350 in words is "two hundred fourteen billion, one hundred million, two hundred thousand, three hundred fifty".