243162261342 has 384 divisors, whose sum is σ = 732033469440. Its totient is φ = 56298240000.

The previous prime is 243162261341. The next prime is 243162261343.

243162261342 is a `hidden beast` number, since 2 + 4 + 3 + 16 + 22 + 613 + 4 + 2 = 666.

243162261342 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (243162261341) and next prime (243162261343).

It is a junction number, because it is equal to n+sod(n) for n = 243162261297 and 243162261306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243162261341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74610909 + ... + 74614167.

It is an arithmetic number, because the mean of its divisors is an integer number (1906337160).

Almost surely, 2^243162261342 is an apocalyptic number.

243162261342 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 243162261342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366016734720).

243162261342 is an abundant number, since it is smaller than the sum of its proper divisors (488871208098).

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

243162261342 is a wasteful number, since it uses less digits than its factorization.

243162261342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3437 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 243162261342 in words is "two hundred forty-three billion, one hundred sixty-two million, two hundred sixty-one thousand, three hundred forty-two".