242357703966 has 128 divisors (see below), whose sum is σ = 622010188800. Its totient is φ = 68515735680.

The previous prime is 242357703901. The next prime is 242357703983. The reversal of 242357703966 is 669307753242.

242357703966 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 577 + 0 + 3 + 9 + 66 = 666.

242357703966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 33411196 + ... + 33418448.

It is an arithmetic number, because the mean of its divisors is an integer number (4859454600).

Almost surely, 2^242357703966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242357703966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311005094400).

242357703966 is an abundant number, since it is smaller than the sum of its proper divisors (379652484834).

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

242357703966 is a wasteful number, since it uses less digits than its factorization.

242357703966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 242357703966 in words is "two hundred forty-two billion, three hundred fifty-seven million, seven hundred three thousand, nine hundred sixty-six".