95460717168 has 240 divisors, whose sum is σ = 298360501920. Its totient is φ = 28315090944.

The previous prime is 95460717167. The next prime is 95460717173. The reversal of 95460717168 is 86171706459.

95460717168 is a `hidden beast` number, since 9 + 5 + 4 + 607 + 17 + 16 + 8 = 666.

It is a super-2 number, since 2×95460717168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95460717167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26835646 + ... + 26839202.

It is an arithmetic number, because the mean of its divisors is an integer number (1243168758).

Almost surely, 2^95460717168 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 95460717168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149180250960).

95460717168 is an abundant number, since it is smaller than the sum of its proper divisors (202899784752).

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

95460717168 is a wasteful number, since it uses less digits than its factorization.

95460717168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 95460717168 in words is "ninety-five billion, four hundred sixty million, seven hundred seventeen thousand, one hundred sixty-eight".