243312666213342 has 192 divisors, whose sum is σ = 554967044352000. Its totient is φ = 71004292128000.

The previous prime is 243312666213341. The next prime is 243312666213371.

243312666213342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×243312666213342³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243312666213291 and 243312666213300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243312666213341) 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, 9113161909 + ... + 9113188607.

It is an arithmetic number, because the mean of its divisors is an integer number (2890453356000).

Almost surely, 2^{243312666213342} is an apocalyptic number.

243312666213342 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 243312666213342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277483522176000).

243312666213342 is an abundant number, since it is smaller than the sum of its proper divisors (311654378138658).

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

243312666213342 is a wasteful number, since it uses less digits than its factorization.

243312666213342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30223 (or 30212 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 243312666213342 in words is "two hundred forty-three trillion, three hundred twelve billion, six hundred sixty-six million, two hundred thirteen thousand, three hundred forty-two".