241101134064 has 160 divisors (see below), whose sum is σ = 791172695040. Its totient is φ = 68863488768.

The previous prime is 241101134059. The next prime is 241101134077. The reversal of 241101134064 is 460431101142.

241101134064 is a `hidden beast` number, since 241 + 1 + 0 + 1 + 13 + 406 + 4 = 666.

241101134064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10672509 + ... + 10695075.

It is an arithmetic number, because the mean of its divisors is an integer number (4944829344).

Almost surely, 2^241101134064 is an apocalyptic number.

241101134064 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 241101134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395586347520).

241101134064 is an abundant number, since it is smaller than the sum of its proper divisors (550071560976).

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

241101134064 is a wasteful number, since it uses less digits than its factorization.

241101134064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26124 (or 26112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 241101134064 in words is "two hundred forty-one billion, one hundred one million, one hundred thirty-four thousand, sixty-four".