8109160416 has 432 divisors, whose sum is σ = 28553720832. Its totient is φ = 2133457920.

The previous prime is 8109160387. The next prime is 8109160427. The reversal of 8109160416 is 6140619018.

It is a happy number.

8109160416 is a `hidden beast` number, since 81 + 0 + 9 + 160 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132937026 + ... + 132937086.

It is an arithmetic number, because the mean of its divisors is an integer number (66096576).

Almost surely, 2^8109160416 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 8109160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276860416).

8109160416 is an abundant number, since it is smaller than the sum of its proper divisors (20444560416).

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

8109160416 is a wasteful number, since it uses less digits than its factorization.

8109160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8109160416 is about 90050.8768197179. The cubic root of 8109160416 is about 2009.0556371674.

The spelling of 8109160416 in words is "eight billion, one hundred nine million, one hundred sixty thousand, four hundred sixteen".