243145203032214 has 192 divisors, whose sum is σ = 645589097556480. Its totient is φ = 66443257108800.

The previous prime is 243145203032209. The next prime is 243145203032219. The reversal of 243145203032214 is 412230302541342.

243145203032214 is a `hidden beast` number, since 2 + 4 + 314 + 5 + 2 + 0 + 3 + 0 + 322 + 14 = 666.

243145203032214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243145203032209) and next prime (243145203032219).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243145203032219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2318906889 + ... + 2319011739.

It is an arithmetic number, because the mean of its divisors is an integer number (3362443216440).

Almost surely, 2^{243145203032214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243145203032214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322794548778240).

243145203032214 is an abundant number, since it is smaller than the sum of its proper divisors (402443894524266).

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

243145203032214 is a wasteful number, since it uses less digits than its factorization.

243145203032214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116512 (or 116483 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 243145203032214 its reverse (412230302541342), we get a palindrome (655375505573556).

The spelling of 243145203032214 in words is "two hundred forty-three trillion, one hundred forty-five billion, two hundred three million, thirty-two thousand, two hundred fourteen".