116009138304 has 160 divisors (see below), whose sum is σ = 346052030940. Its totient is φ = 38578913280.

The previous prime is 116009138249. The next prime is 116009138347. The reversal of 116009138304 is 403831900611.

116009138304 is a `hidden beast` number, since 1 + 1 + 600 + 9 + 13 + 8 + 30 + 4 = 666.

116009138304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 102886977600 + 13122160704 = 320760^2 + 114552^2 .

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 19 ways as a sum of consecutive naturals, for example, 4476424 + ... + 4502264.

Almost surely, 2^116009138304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116009138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173026015470).

116009138304 is an abundant number, since it is smaller than the sum of its proper divisors (230042892636).

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

116009138304 is an equidigital number, since it uses as much as digits as its factorization.

116009138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26300 (or 26279 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 116009138304 in words is "one hundred sixteen billion, nine million, one hundred thirty-eight thousand, three hundred four".