243721484127342 has 128 divisors (see below), whose sum is σ = 624028226304000. Its totient is φ = 69879658055040.

The previous prime is 243721484127167. The next prime is 243721484127353.

It is a happy number.

243721484127342 is a `hidden beast` number, since 2 + 4 + 3 + 7 + 2 + 1 + 484 + 127 + 34 + 2 = 666.

243721484127342 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148962742 + ... + 150589977.

It is an arithmetic number, because the mean of its divisors is an integer number (4875220518000).

Almost surely, 2^{243721484127342} is an apocalyptic number.

243721484127342 is an abundant number, since it is smaller than the sum of its proper divisors (380306742176658).

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

243721484127342 is a wasteful number, since it uses less digits than its factorization.

243721484127342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299552823 (or 299552817 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 243721484127342 in words is "two hundred forty-three trillion, seven hundred twenty-one billion, four hundred eighty-four million, one hundred twenty-seven thousand, three hundred forty-two".