116469632160 has 1152 divisors, whose sum is σ = 504362557440. Its totient is φ = 24575145984.

The previous prime is 116469632159. The next prime is 116469632239. The reversal of 116469632160 is 61236964611.

116469632160 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 6 + 9 + 632 + 1 + 6 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 513081967 + ... + 513082193.

It is an arithmetic number, because the mean of its divisors is an integer number (437814720).

Almost surely, 2^116469632160 is an apocalyptic number.

116469632160 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 116469632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252181278720).

116469632160 is an abundant number, since it is smaller than the sum of its proper divisors (387892925280).

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

116469632160 is a wasteful number, since it uses less digits than its factorization.

116469632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 116469632160 in words is "one hundred sixteen billion, four hundred sixty-nine million, six hundred thirty-two thousand, one hundred sixty".