187142617116 has 648 divisors, whose sum is σ = 622886413968. Its totient is φ = 47174400000.

The previous prime is 187142617069. The next prime is 187142617163. The reversal of 187142617116 is 611716241781.

187142617116 is a `hidden beast` number, since 1 + 8 + 7 + 14 + 2 + 617 + 1 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (187142617069) and next prime (187142617163).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 745587991 + ... + 745588241.

It is an arithmetic number, because the mean of its divisors is an integer number (961244466).

Almost surely, 2^187142617116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187142617116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311443206984).

187142617116 is an abundant number, since it is smaller than the sum of its proper divisors (435743796852).

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

187142617116 is a wasteful number, since it uses less digits than its factorization.

187142617116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

Adding to 187142617116 its reverse (611716241781), we get a palindrome (798858858897).

The spelling of 187142617116 in words is "one hundred eighty-seven billion, one hundred forty-two million, six hundred seventeen thousand, one hundred sixteen".