116878464000 has 440 divisors, whose sum is σ = 435618025128. Its totient is φ = 31164825600.

The previous prime is 116878463983. The next prime is 116878464019. The reversal of 116878464000 is 464878611.

116878464000 is a `hidden beast` number, since 1 + 168 + 7 + 84 + 6 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13204767744 + 103673696256 = 114912^2 + 321984^2 .

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 10362364 + ... + 10373636.

Almost surely, 2^116878464000 is an apocalyptic number.

116878464000 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 116878464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217809012564).

116878464000 is an abundant number, since it is smaller than the sum of its proper divisors (318739561128).

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

116878464000 is an equidigital number, since it uses as much as digits as its factorization.

116878464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 116878464000 in words is "one hundred sixteen billion, eight hundred seventy-eight million, four hundred sixty-four thousand".