243023242320342 has 144 divisors (see below), whose sum is σ = 588354975215280. Its totient is φ = 72424229328000.

The previous prime is 243023242320337. The next prime is 243023242320349.

243023242320342 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 2 + 324 + 2 + 320 + 3 + 4 + 2 = 666.

243023242320342 is nontrivially palindromic in base 10.

243023242320342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243023242320297 and 243023242320306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243023242320349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825033784 + ... + 825328292.

It is an arithmetic number, because the mean of its divisors is an integer number (4085798438995).

Almost surely, 2^{243023242320342} is an apocalyptic number.

243023242320342 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 243023242320342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294177487607640).

243023242320342 is an abundant number, since it is smaller than the sum of its proper divisors (345331732894938).

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

243023242320342 is a wasteful number, since it uses less digits than its factorization.

243023242320342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300811 (or 300797 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 243023242320342 in words is "two hundred forty-three trillion, twenty-three billion, two hundred forty-two million, three hundred twenty thousand, three hundred forty-two".