241966148349312 has 192 divisors, whose sum is σ = 709264481047200. Its totient is φ = 79165481730048.

The previous prime is 241966148349283. The next prime is 241966148349313. The reversal of 241966148349312 is 213943841669142.

241966148349312 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 6 + 61 + 4 + 83 + 493 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 241966148349312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241966148349313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4385014 + ... + 22431242.

Almost surely, 2^{241966148349312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241966148349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354632240523600).

241966148349312 is an abundant number, since it is smaller than the sum of its proper divisors (467298332697888).

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

241966148349312 is a wasteful number, since it uses less digits than its factorization.

241966148349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18046465 (or 18046450 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 241966148349312 in words is "two hundred forty-one trillion, nine hundred sixty-six billion, one hundred forty-eight million, three hundred forty-nine thousand, three hundred twelve".