241233583104 has 440 divisors, whose sum is σ = 742823220480. Its totient is φ = 77936173056.

The previous prime is 241233583081. The next prime is 241233583117. The reversal of 241233583104 is 401385332142.

241233583104 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 335 + 8 + 310 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 852415347 + ... + 852415629.

It is an arithmetic number, because the mean of its divisors is an integer number (1688234592).

Almost surely, 2^241233583104 is an apocalyptic number.

241233583104 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 241233583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371411610240).

241233583104 is an abundant number, since it is smaller than the sum of its proper divisors (501589637376).

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

241233583104 is a wasteful number, since it uses less digits than its factorization.

241233583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 241233583104 in words is "two hundred forty-one billion, two hundred thirty-three million, five hundred eighty-three thousand, one hundred four".