8116872192 has 352 divisors, whose sum is σ = 28254495360. Its totient is φ = 2269347840.

The previous prime is 8116872157. The next prime is 8116872199. The reversal of 8116872192 is 2912786118.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×8116872192² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8116872199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952638 + ... + 3954690.

Almost surely, 2^8116872192 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 8116872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127247680).

8116872192 is an abundant number, since it is smaller than the sum of its proper divisors (20137623168).

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

8116872192 is a wasteful number, since it uses less digits than its factorization.

8116872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2082 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 8116872192 is about 90093.6856388948. The cubic root of 8116872192 is about 2009.6923030886.

The spelling of 8116872192 in words is "eight billion, one hundred sixteen million, eight hundred seventy-two thousand, one hundred ninety-two".