241686613389312 has 1248 divisors, whose sum is σ = 949762451937600. Its totient is φ = 59991725703168.

The previous prime is 241686613389271. The next prime is 241686613389323. The reversal of 241686613389312 is 213983316686142.

241686613389312 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 8 + 6 + 613 + 3 + 8 + 9 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 241686613389312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1197499864 + ... + 1197701672.

Almost surely, 2^{241686613389312} 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 241686613389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474881225968800).

241686613389312 is an abundant number, since it is smaller than the sum of its proper divisors (708075838548288).

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

241686613389312 is a wasteful number, since it uses less digits than its factorization.

241686613389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201886 (or 201851 counting only the distinct ones).

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

The spelling of 241686613389312 in words is "two hundred forty-one trillion, six hundred eighty-six billion, six hundred thirteen million, three hundred eighty-nine thousand, three hundred twelve".