8349476086116 has 81 divisors (see below), whose sum is σ = 23199269349529. Its totient is φ = 2530086477600.

The previous prime is 8349476086111. The next prime is 8349476086129. The reversal of 8349476086116 is 6116806749438.

It is a happy number.

The square root of 8349476086116 is 2889546.

It is a perfect power (a square), and thus also a powerful number.

8349476086116 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 4 + 7 + 6 + 0 + 8 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8273366311716 + 76109774400 = 2876346^2 + 275880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8349476086111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190688146 + ... + 190731926.

Almost surely, 2^{8349476086116} is an apocalyptic number.

8349476086116 is the 2889546-th square number.

It is an amenable number.

8349476086116 is an abundant number, since it is smaller than the sum of its proper divisors (14849793263413).

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

8349476086116 is an equidigital number, since it uses as much as digits as its factorization.

8349476086116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87594 (or 43797 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 8349476086116 in words is "eight trillion, three hundred forty-nine billion, four hundred seventy-six million, eighty-six thousand, one hundred sixteen".