8085145167 has 40 divisors (see below), whose sum is σ = 13186622592. Its totient is φ = 4896061200.

The previous prime is 8085145157. The next prime is 8085145193. The reversal of 8085145167 is 7615415808.

8085145167 is a `hidden beast` number, since 80 + 8 + 51 + 4 + 516 + 7 = 666.

8085145167 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8085145167 - 2³² = 3790177871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8085145157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1361158 + ... + 1367084.

Almost surely, 2^8085145167 is an apocalyptic number.

8085145167 is a deficient number, since it is larger than the sum of its proper divisors (5101477425).

8085145167 is a wasteful number, since it uses less digits than its factorization.

8085145167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 8085145167 is about 89917.4352781484. The cubic root of 8085145167 is about 2007.0704058097.

The spelling of 8085145167 in words is "eight billion, eighty-five million, one hundred forty-five thousand, one hundred sixty-seven".