118496144000 has 256 divisors, whose sum is σ = 320411669760. Its totient is φ = 43319808000.

The previous prime is 118496143979. The next prime is 118496144023. The reversal of 118496144000 is 441694811.

It is a super-3 number, since 3×118496144000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 21421235 + ... + 21426765.

It is an arithmetic number, because the mean of its divisors is an integer number (1251608085).

Almost surely, 2^118496144000 is an apocalyptic number.

118496144000 is a gapful number since it is divisible by the number (10) 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 118496144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160205834880).

118496144000 is an abundant number, since it is smaller than the sum of its proper divisors (201915525760).

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

118496144000 is a wasteful number, since it uses less digits than its factorization.

118496144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 118496144000 in words is "one hundred eighteen billion, four hundred ninety-six million, one hundred forty-four thousand".