186211490112 has 448 divisors, whose sum is σ = 591536332800. Its totient is φ = 57288591360.

The previous prime is 186211490111. The next prime is 186211490123. The reversal of 186211490112 is 211094112681.

186211490112 is a `hidden beast` number, since 1 + 8 + 621 + 14 + 9 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186211490111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 204402937 + ... + 204403847.

It is an arithmetic number, because the mean of its divisors is an integer number (1320393600).

Almost surely, 2^186211490112 is an apocalyptic number.

186211490112 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 186211490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295768166400).

186211490112 is an abundant number, since it is smaller than the sum of its proper divisors (405324842688).

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

186211490112 is a wasteful number, since it uses less digits than its factorization.

186211490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 186211490112 in words is "one hundred eighty-six billion, two hundred eleven million, four hundred ninety thousand, one hundred twelve".