9165725856 has 576 divisors, whose sum is σ = 33631718400. Its totient is φ = 2371991040.

The previous prime is 9165725827. The next prime is 9165725867. The reversal of 9165725856 is 6585275619.

9165725856 is a `hidden beast` number, since 9 + 1 + 6 + 57 + 2 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110430391 + ... + 110430473.

It is an arithmetic number, because the mean of its divisors is an integer number (58388400).

Almost surely, 2^9165725856 is an apocalyptic number.

9165725856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9165725856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815859200).

9165725856 is an abundant number, since it is smaller than the sum of its proper divisors (24465992544).

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

9165725856 is a wasteful number, since it uses less digits than its factorization.

9165725856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 145 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 9165725856 is about 95737.7974260950. The cubic root of 9165725856 is about 2092.7737913349.

The spelling of 9165725856 in words is "nine billion, one hundred sixty-five million, seven hundred twenty-five thousand, eight hundred fifty-six".