116658847200 has 864 divisors, whose sum is σ = 455514845184. Its totient is φ = 25848668160.

The previous prime is 116658847171. The next prime is 116658847219. The reversal of 116658847200 is 2748856611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116658847200.

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 143 ways as a sum of consecutive naturals, for example, 918573537 + ... + 918573663.

It is an arithmetic number, because the mean of its divisors is an integer number (527216256).

Almost surely, 2^116658847200 is an apocalyptic number.

116658847200 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 116658847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227757422592).

116658847200 is an abundant number, since it is smaller than the sum of its proper divisors (338855997984).

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

116658847200 is a wasteful number, since it uses less digits than its factorization.

116658847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 116658847200 in words is "one hundred sixteen billion, six hundred fifty-eight million, eight hundred forty-seven thousand, two hundred".