187884117696 has 224 divisors, whose sum is σ = 556922854656. Its totient is φ = 55406592000.

The previous prime is 187884117677. The next prime is 187884117713. The reversal of 187884117696 is 696711488781.

187884117696 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 (66).

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 31 ways as a sum of consecutive naturals, for example, 37491831 + ... + 37496841.

It is an arithmetic number, because the mean of its divisors is an integer number (2486262744).

Almost surely, 2^187884117696 is an apocalyptic number.

187884117696 is a gapful number since it is divisible by the number (16) 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 187884117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278461427328).

187884117696 is an abundant number, since it is smaller than the sum of its proper divisors (369038736960).

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

187884117696 is a wasteful number, since it uses less digits than its factorization.

187884117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5501 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 66.

The spelling of 187884117696 in words is "one hundred eighty-seven billion, eight hundred eighty-four million, one hundred seventeen thousand, six hundred ninety-six".