187618827648 has 128 divisors (see below), whose sum is σ = 575087685120. Its totient is φ = 53084860416.

The previous prime is 187618827569. The next prime is 187618827661. The reversal of 187618827648 is 846728816781.

187618827648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 61965 + ... + 615692.

It is an arithmetic number, because the mean of its divisors is an integer number (4492872540).

Almost surely, 2^187618827648 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 187618827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287543842560).

187618827648 is an abundant number, since it is smaller than the sum of its proper divisors (387468857472).

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

187618827648 is a wasteful number, since it uses less digits than its factorization.

187618827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677784 (or 677772 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 66.

The spelling of 187618827648 in words is "one hundred eighty-seven billion, six hundred eighteen million, eight hundred twenty-seven thousand, six hundred forty-eight".