118460620800 has 840 divisors, whose sum is σ = 453028810476. Its totient is φ = 30576476160.

The previous prime is 118460620783. The next prime is 118460620849. The reversal of 118460620800 is 8026064811.

118460620800 is a `hidden beast` number, since 118 + 460 + 6 + 2 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53349912576 + 65110708224 = 230976^2 + 255168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 613785504 + ... + 613785696.

Almost surely, 2^118460620800 is an apocalyptic number.

118460620800 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 118460620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226514405238).

118460620800 is an abundant number, since it is smaller than the sum of its proper divisors (334568189676).

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

118460620800 is an equidigital number, since it uses as much as digits as its factorization.

118460620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 118460620800 in words is "one hundred eighteen billion, four hundred sixty million, six hundred twenty thousand, eight hundred".