242112663500532 has 192 divisors, whose sum is σ = 645816326012928. Its totient is φ = 69925984128000.

The previous prime is 242112663500459. The next prime is 242112663500627. The reversal of 242112663500532 is 235005366211242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271783798 + ... + 272673170.

It is an arithmetic number, because the mean of its divisors is an integer number (3363626697984).

Almost surely, 2^{242112663500532} is an apocalyptic number.

242112663500532 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 242112663500532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322908163006464).

242112663500532 is an abundant number, since it is smaller than the sum of its proper divisors (403703662512396).

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

242112663500532 is a wasteful number, since it uses less digits than its factorization.

242112663500532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890430 (or 890428 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 242112663500532 in words is "two hundred forty-two trillion, one hundred twelve billion, six hundred sixty-three million, five hundred thousand, five hundred thirty-two".