186383536381728 has 384 divisors, whose sum is σ = 624381041571840. Its totient is φ = 52986631541760.

The previous prime is 186383536381699. The next prime is 186383536381729. The reversal of 186383536381728 is 827183635383681.

186383536381728 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 8 + 3 + 536 + 3 + 81 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×186383536381728² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (186383536381729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5733626851 + ... + 5733659357.

It is an arithmetic number, because the mean of its divisors is an integer number (1625992295760).

Almost surely, 2^{186383536381728} is an apocalyptic number.

186383536381728 is a gapful number since it is divisible by the number (18) 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 186383536381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312190520785920).

186383536381728 is an abundant number, since it is smaller than the sum of its proper divisors (437997505190112).

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

186383536381728 is a wasteful number, since it uses less digits than its factorization.

186383536381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37237 (or 37223 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 186383536381728 in words is "one hundred eighty-six trillion, three hundred eighty-three billion, five hundred thirty-six million, three hundred eighty-one thousand, seven hundred twenty-eight".