242521189549632 has 336 divisors, whose sum is σ = 825065971172352. Its totient is φ = 69191469457920.

The previous prime is 242521189549609. The next prime is 242521189549663. The reversal of 242521189549632 is 236945981125242.

242521189549632 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 2 + 1 + 1 + 89 + 549 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 242521189549632.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73613053 + ... + 76836995.

It is an arithmetic number, because the mean of its divisors is an integer number (2455553485632).

Almost surely, 2^{242521189549632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242521189549632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412532985586176).

242521189549632 is an abundant number, since it is smaller than the sum of its proper divisors (582544781622720).

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

242521189549632 is an equidigital number, since it uses as much as digits as its factorization.

242521189549632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224668 (or 3224646 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 242521189549632 in words is "two hundred forty-two trillion, five hundred twenty-one billion, one hundred eighty-nine million, five hundred forty-nine thousand, six hundred thirty-two".