241556052816 has 720 divisors, whose sum is σ = 817517675520. Its totient is φ = 65952921600.

The previous prime is 241556052767. The next prime is 241556052823. The reversal of 241556052816 is 618250655142.

241556052816 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 5 + 605 + 28 + 16 = 666.

241556052816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1264691281 + ... + 1264691471.

It is an arithmetic number, because the mean of its divisors is an integer number (1135441216).

Almost surely, 2^241556052816 is an apocalyptic number.

241556052816 is a gapful number since it is divisible by the number (26) 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 241556052816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408758837760).

241556052816 is an abundant number, since it is smaller than the sum of its proper divisors (575961622704).

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

241556052816 is a wasteful number, since it uses less digits than its factorization.

241556052816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 241556052816 in words is "two hundred forty-one billion, five hundred fifty-six million, fifty-two thousand, eight hundred sixteen".