243312303213342 has 144 divisors (see below), whose sum is σ = 584044457461920. Its totient is φ = 73149432048000.

The previous prime is 243312303213293. The next prime is 243312303213373.

243312303213342 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 1 + 2 + 303 + 2 + 1 + 3 + 342 = 666.

243312303213342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243312303213297 and 243312303213306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165232759 + ... + 166698797.

It is an arithmetic number, because the mean of its divisors is an integer number (4055864287930).

Almost surely, 2^{243312303213342} is an apocalyptic number.

243312303213342 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 243312303213342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292022228730960).

243312303213342 is an abundant number, since it is smaller than the sum of its proper divisors (340732154248578).

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

243312303213342 is a wasteful number, since it uses less digits than its factorization.

243312303213342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466671 (or 1466657 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 24331230 and 3213342, that added together give a palindrome (27544572).

The spelling of 243312303213342 in words is "two hundred forty-three trillion, three hundred twelve billion, three hundred three million, two hundred thirteen thousand, three hundred forty-two".