241584046144 has 189 divisors, whose sum is σ = 570463611039. Its totient is φ = 101212151040.

The previous prime is 241584046141. The next prime is 241584046159. The reversal of 241584046144 is 441640485142.

The square root of 241584046144 is 491512.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 241584046144.

It is not an unprimeable number, because it can be changed into a prime (241584046141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1844152959 + ... + 1844153089.

Almost surely, 2^241584046144 is an apocalyptic number.

241584046144 is the 491512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241584046144

241584046144 is an abundant number, since it is smaller than the sum of its proper divisors (328879564895).

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

241584046144 is an frugal number, since it uses more digits than its factorization.

241584046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 241584046144 in words is "two hundred forty-one billion, five hundred eighty-four million, forty-six thousand, one hundred forty-four".