241834284008064 has 448 divisors, whose sum is σ = 813425187790080. Its totient is φ = 70919135539200.

The previous prime is 241834284008047. The next prime is 241834284008071. The reversal of 241834284008064 is 460800482438142.

It is a happy number.

241834284008064 is a `hidden beast` number, since 2 + 4 + 1 + 83 + 4 + 28 + 400 + 80 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 241834284008064.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28019284 + ... + 35619500.

Almost surely, 2^{241834284008064} is an apocalyptic number.

241834284008064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241834284008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406712593895040).

241834284008064 is an abundant number, since it is smaller than the sum of its proper divisors (571590903782016).

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

241834284008064 is an equidigital number, since it uses as much as digits as its factorization.

241834284008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600291 (or 7600264 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 241834284008064 in words is "two hundred forty-one trillion, eight hundred thirty-four billion, two hundred eighty-four million, eight thousand, sixty-four".