186150381312 has 288 divisors, whose sum is σ = 574001247232. Its totient is φ = 52457766912.

The previous prime is 186150381289. The next prime is 186150381337. The reversal of 186150381312 is 213183051681.

186150381312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 253956498 + ... + 253957230.

Almost surely, 2^186150381312 is an apocalyptic number.

186150381312 is a gapful number since it is divisible by the number (12) 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 186150381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287000623616).

186150381312 is an abundant number, since it is smaller than the sum of its proper divisors (387850865920).

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

186150381312 is an equidigital number, since it uses as much as digits as its factorization.

186150381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 186150381312 in words is "one hundred eighty-six billion, one hundred fifty million, three hundred eighty-one thousand, three hundred twelve".