95384915808 has 384 divisors, whose sum is σ = 325545099264. Its totient is φ = 23775897600.

The previous prime is 95384915767. The next prime is 95384915867. The reversal of 95384915808 is 80851948359.

95384915808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11640993 + ... + 11649183.

It is an arithmetic number, because the mean of its divisors is an integer number (847773696).

Almost surely, 2^95384915808 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 95384915808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162772549632).

95384915808 is an abundant number, since it is smaller than the sum of its proper divisors (230160183456).

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

95384915808 is a wasteful number, since it uses less digits than its factorization.

95384915808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The spelling of 95384915808 in words is "ninety-five billion, three hundred eighty-four million, nine hundred fifteen thousand, eight hundred eight".