241284385737252 has 288 divisors, whose sum is σ = 718910888177664. Its totient is φ = 67269126240000.

The previous prime is 241284385737173. The next prime is 241284385737287. The reversal of 241284385737252 is 252737583482142.

241284385737252 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 8 + 4 + 3 + 8 + 573 + 7 + 2 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 241284385737252.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4406912877 + ... + 4406967627.

It is an arithmetic number, because the mean of its divisors is an integer number (2496218361728).

Almost surely, 2^{241284385737252} is an apocalyptic number.

241284385737252 is a gapful number since it is divisible by the number (22) 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 241284385737252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359455444088832).

241284385737252 is an abundant number, since it is smaller than the sum of its proper divisors (477626502440412).

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

241284385737252 is a wasteful number, since it uses less digits than its factorization.

241284385737252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57599 (or 57594 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 241284385737252 in words is "two hundred forty-one trillion, two hundred eighty-four billion, three hundred eighty-five million, seven hundred thirty-seven thousand, two hundred fifty-two".