209116146096 has 960 divisors, whose sum is σ = 755718297600. Its totient is φ = 55242570240.

The previous prime is 209116146053. The next prime is 209116146097. The reversal of 209116146096 is 690641611902.

It is a happy number.

209116146096 is a `hidden beast` number, since 2 + 0 + 91 + 16 + 1 + 460 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (209116146097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2647039785 + ... + 2647039863.

It is an arithmetic number, because the mean of its divisors is an integer number (787206560).

Almost surely, 2^209116146096 is an apocalyptic number.

209116146096 is a gapful number since it is divisible by the number (26) 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 209116146096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377859148800).

209116146096 is an abundant number, since it is smaller than the sum of its proper divisors (546602151504).

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

209116146096 is a wasteful number, since it uses less digits than its factorization.

209116146096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

Adding to 209116146096 its reverse (690641611902), we get a palindrome (899757757998).

The spelling of 209116146096 in words is "two hundred nine billion, one hundred sixteen million, one hundred forty-six thousand, ninety-six".