242307655128 has 768 divisors, whose sum is σ = 880538480640. Its totient is φ = 58375987200.

The previous prime is 242307655067. The next prime is 242307655133. The reversal of 242307655128 is 821556703242.

242307655128 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 76 + 551 + 28 = 666.

242307655128 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 395281350 + ... + 395281962.

It is an arithmetic number, because the mean of its divisors is an integer number (1146534480).

Almost surely, 2^242307655128 is an apocalyptic number.

242307655128 is a gapful number since it is divisible by the number (28) 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 242307655128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440269240320).

242307655128 is an abundant number, since it is smaller than the sum of its proper divisors (638230825512).

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

242307655128 is a wasteful number, since it uses less digits than its factorization.

242307655128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 242307655128 in words is "two hundred forty-two billion, three hundred seven million, six hundred fifty-five thousand, one hundred twenty-eight".