118284768000 has 864 divisors, whose sum is σ = 507774339072. Its totient is φ = 25850880000.

The previous prime is 118284767983. The next prime is 118284768001. The reversal of 118284768000 is 867482811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (118284768001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46366725 + ... + 46369275.

Almost surely, 2^118284768000 is an apocalyptic number.

118284768000 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 118284768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253887169536).

118284768000 is an abundant number, since it is smaller than the sum of its proper divisors (389489571072).

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

118284768000 is a wasteful number, since it uses less digits than its factorization.

118284768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 118284768000 in words is "one hundred eighteen billion, two hundred eighty-four million, seven hundred sixty-eight thousand".