118186345728 has 720 divisors, whose sum is σ = 421499453760. Its totient is φ = 32514048000.

The previous prime is 118186345727. The next prime is 118186345763. The reversal of 118186345728 is 827543681811.

118186345728 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 8 + 63 + 4 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118186345727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112450803 + ... + 112451853.

It is an arithmetic number, because the mean of its divisors is an integer number (585415908).

Almost surely, 2^118186345728 is an apocalyptic number.

118186345728 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 118186345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210749726880).

118186345728 is an abundant number, since it is smaller than the sum of its proper divisors (303313108032).

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

118186345728 is a wasteful number, since it uses less digits than its factorization.

118186345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1113 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 118186345728 in words is "one hundred eighteen billion, one hundred eighty-six million, three hundred forty-five thousand, seven hundred twenty-eight".