118673805600 has 648 divisors, whose sum is σ = 489028700160. Its totient is φ = 27001175040.

The previous prime is 118673805599. The next prime is 118673805623. The reversal of 118673805600 is 6508376811.

118673805600 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 7 + 3 + 80 + 560 + 0 = 666.

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

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 107 ways as a sum of consecutive naturals, for example, 92785761 + ... + 92787039.

It is an arithmetic number, because the mean of its divisors is an integer number (754673920).

Almost surely, 2^118673805600 is an apocalyptic number.

118673805600 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 118673805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244514350080).

118673805600 is an abundant number, since it is smaller than the sum of its proper divisors (370354894560).

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

118673805600 is a wasteful number, since it uses less digits than its factorization.

118673805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 118673805600 in words is "one hundred eighteen billion, six hundred seventy-three million, eight hundred five thousand, six hundred".