241531341443064 has 128 divisors (see below), whose sum is σ = 674790747840000. Its totient is φ = 80047271872512.

The previous prime is 241531341442981. The next prime is 241531341443083. The reversal of 241531341443064 is 460344143135142.

241531341443064 is a `hidden beast` number, since 2 + 4 + 1 + 531 + 3 + 4 + 14 + 43 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23046429 + ... + 31846515.

It is an arithmetic number, because the mean of its divisors is an integer number (5271802717500).

Almost surely, 2^{241531341443064} is an apocalyptic number.

241531341443064 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 241531341443064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337395373920000).

241531341443064 is an abundant number, since it is smaller than the sum of its proper divisors (433259406396936).

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

241531341443064 is a wasteful number, since it uses less digits than its factorization.

241531341443064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800834 (or 8800824 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 241531341443064 in words is "two hundred forty-one trillion, five hundred thirty-one billion, three hundred forty-one million, four hundred forty-three thousand, sixty-four".