242501468832 has 216 divisors, whose sum is σ = 804315972096. Its totient is φ = 69103689984.

The previous prime is 242501468827. The next prime is 242501468917. The reversal of 242501468832 is 238864105242.

242501468832 is a `hidden beast` number, since 2 + 4 + 2 + 501 + 4 + 68 + 83 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5382463 + ... + 5427329.

It is an arithmetic number, because the mean of its divisors is an integer number (3723685056).

Almost surely, 2^242501468832 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 242501468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402157986048).

242501468832 is an abundant number, since it is smaller than the sum of its proper divisors (561814503264).

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

242501468832 is a wasteful number, since it uses less digits than its factorization.

242501468832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45280 (or 45262 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 242501468832 in words is "two hundred forty-two billion, five hundred one million, four hundred sixty-eight thousand, eight hundred thirty-two".