243114411342 has 128 divisors (see below), whose sum is σ = 579421237248. Its totient is φ = 67158374400.

The previous prime is 243114411277. The next prime is 243114411343.

It is a happy number.

243114411342 is nontrivially palindromic in base 10.

243114411342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243114411343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9244492 + ... + 9270752.

It is an arithmetic number, because the mean of its divisors is an integer number (4526728416).

Almost surely, 2^243114411342 is an apocalyptic number.

243114411342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243114411342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289710618624).

243114411342 is an abundant number, since it is smaller than the sum of its proper divisors (336306825906).

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

243114411342 is a wasteful number, since it uses less digits than its factorization.

243114411342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26554.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 243114 and 411342, that added together give a palindrome (654456).

The spelling of 243114411342 in words is "two hundred forty-three billion, one hundred fourteen million, four hundred eleven thousand, three hundred forty-two".