243264606462342 has 128 divisors (see below), whose sum is σ = 568350180057600. Its totient is φ = 77018278474368.

The previous prime is 243264606462329. The next prime is 243264606462347.

243264606462342 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 6 + 4 + 6 + 0 + 6 + 4 + 623 + 4 + 2 = 666.

243264606462342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243264606462347) 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, 75326293 + ... + 78489359.

It is an arithmetic number, because the mean of its divisors is an integer number (4440235781700).

Almost surely, 2^{243264606462342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243264606462342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284175090028800).

243264606462342 is an abundant number, since it is smaller than the sum of its proper divisors (325085573595258).

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

243264606462342 is a wasteful number, since it uses less digits than its factorization.

243264606462342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163907 (or 3163901 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 243264606462342 in words is "two hundred forty-three trillion, two hundred sixty-four billion, six hundred six million, four hundred sixty-two thousand, three hundred forty-two".