118459456128 has 1024 divisors, whose sum is σ = 419489280000. Its totient is φ = 32597655552.

The previous prime is 118459456111. The next prime is 118459456163. The reversal of 118459456128 is 821654954811.

118459456128 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 59 + 4 + 561 + 28 = 666.

It is a super-2 number, since 2×118459456128² (a number of 23 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 1768051551 + ... + 1768051617.

It is an arithmetic number, because the mean of its divisors is an integer number (409657500).

Almost surely, 2^118459456128 is an apocalyptic number.

118459456128 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 118459456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640000).

118459456128 is an abundant number, since it is smaller than the sum of its proper divisors (301029823872).

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

118459456128 is a wasteful number, since it uses less digits than its factorization.

118459456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 118459456128 in words is "one hundred eighteen billion, four hundred fifty-nine million, four hundred fifty-six thousand, one hundred twenty-eight".