242168636160 has 216 divisors, whose sum is σ = 914049483984. Its totient is φ = 58707517440.

The previous prime is 242168636153. The next prime is 242168636179. The reversal of 242168636160 is 61636861242.

242168636160 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 6 + 8 + 636 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828807 + ... + 1082246.

It is an arithmetic number, because the mean of its divisors is an integer number (4231710574).

Almost surely, 2^242168636160 is an apocalyptic number.

242168636160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242168636160 is an abundant number, since it is smaller than the sum of its proper divisors (671880847824).

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

242168636160 is a wasteful number, since it uses less digits than its factorization.

242168636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911091 (or 1911074 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 242168636160 in words is "two hundred forty-two billion, one hundred sixty-eight million, six hundred thirty-six thousand, one hundred sixty".