95228866656 has 576 divisors, whose sum is σ = 346448793600. Its totient is φ = 24097582080.

The previous prime is 95228866627. The next prime is 95228866709. The reversal of 95228866656 is 65666882259.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 95228866593 and 95228866602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158979445 + ... + 158980043.

It is an arithmetic number, because the mean of its divisors is an integer number (601473600).

Almost surely, 2^95228866656 is an apocalyptic number.

95228866656 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 95228866656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224396800).

95228866656 is an abundant number, since it is smaller than the sum of its proper divisors (251219926944).

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

95228866656 is a wasteful number, since it uses less digits than its factorization.

95228866656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 95228866656 in words is "ninety-five billion, two hundred twenty-eight million, eight hundred sixty-six thousand, six hundred fifty-six".