187805249100768 has 768 divisors, whose sum is σ = 569124846259200. Its totient is φ = 53825538686976.

The previous prime is 187805249100743. The next prime is 187805249100797. The reversal of 187805249100768 is 867001942508781.

187805249100768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 187805249100699 and 187805249100708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23626269658 + ... + 23626277606.

It is an arithmetic number, because the mean of its divisors is an integer number (741047976900).

Almost surely, 2^{187805249100768} 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 187805249100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284562423129600).

187805249100768 is an abundant number, since it is smaller than the sum of its proper divisors (381319597158432).

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

187805249100768 is a wasteful number, since it uses less digits than its factorization.

187805249100768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 66.

The spelling of 187805249100768 in words is "one hundred eighty-seven trillion, eight hundred five billion, two hundred forty-nine million, one hundred thousand, seven hundred sixty-eight".