95466168576 has 243 divisors, whose sum is σ = 283938168423. Its totient is φ = 30848163840.

The previous prime is 95466168571. The next prime is 95466168583. The reversal of 95466168576 is 67586166459.

The square root of 95466168576 is 308976.

It is a perfect power (a square), and thus also a powerful number.

95466168576 is a `hidden beast` number, since 9 + 5 + 4 + 6 + 616 + 8 + 5 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46967558400 + 48498610176 = 216720^2 + 220224^2 .

It is a super-2 number, since 2×95466168576² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95466168571) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 608064690 + ... + 608064846.

Almost surely, 2^95466168576 is an apocalyptic number.

95466168576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

95466168576 is the 308976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95466168576

95466168576 is an abundant number, since it is smaller than the sum of its proper divisors (188471999847).

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

95466168576 is an equidigital number, since it uses as much as digits as its factorization.

95466168576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 203 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 95466168576 in words is "ninety-five billion, four hundred sixty-six million, one hundred sixty-eight thousand, five hundred seventy-six".