243114222411342 has 192 divisors, whose sum is σ = 562820931204480. Its totient is φ = 75743384850432.

The previous prime is 243114222411331. The next prime is 243114222411383.

243114222411342 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 14 + 222 + 411 + 3 + 4 + 2 = 666.

243114222411342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243114222411297 and 243114222411306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352670959 + ... + 353359637.

It is an arithmetic number, because the mean of its divisors is an integer number (2931359016690).

Almost surely, 2^{243114222411342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243114222411342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281410465602240).

243114222411342 is an abundant number, since it is smaller than the sum of its proper divisors (319706708793138).

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

243114222411342 is a wasteful number, since it uses less digits than its factorization.

243114222411342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688987 (or 688984 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 243114222411342 in words is "two hundred forty-three trillion, one hundred fourteen billion, two hundred twenty-two million, four hundred eleven thousand, three hundred forty-two".