187242923217168 has 1440 divisors, whose sum is σ = 710802825707520. Its totient is φ = 44736933795840.

The previous prime is 187242923217079. The next prime is 187242923217197. The reversal of 187242923217168 is 861712329242781.

187242923217168 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 4 + 292 + 321 + 7 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10099938043 + ... + 10099956581.

It is an arithmetic number, because the mean of its divisors is an integer number (493613073408).

Almost surely, 2^{187242923217168} is an apocalyptic number.

187242923217168 is a gapful number since it is divisible by the number (18) 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 187242923217168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355401412853760).

187242923217168 is an abundant number, since it is smaller than the sum of its proper divisors (523559902490352).

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

187242923217168 is a wasteful number, since it uses less digits than its factorization.

187242923217168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18697 (or 18665 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 187242923217168 in words is "one hundred eighty-seven trillion, two hundred forty-two billion, nine hundred twenty-three million, two hundred seventeen thousand, one hundred sixty-eight".