118153801728 has 156 divisors (see below), whose sum is σ = 342487661880. Its totient is φ = 39246594048.

The previous prime is 118153801663. The next prime is 118153801739. The reversal of 118153801728 is 827108351811.

118153801728 is a `hidden beast` number, since 1 + 1 + 81 + 538 + 0 + 17 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10795683 + ... + 10806621.

It is an arithmetic number, because the mean of its divisors is an integer number (2195433730).

Almost surely, 2^118153801728 is an apocalyptic number.

118153801728 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 118153801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243830940).

118153801728 is an abundant number, since it is smaller than the sum of its proper divisors (224333860152).

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

118153801728 is a wasteful number, since it uses less digits than its factorization.

118153801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 118153801728 in words is "one hundred eighteen billion, one hundred fifty-three million, eight hundred one thousand, seven hundred twenty-eight".