95448541968 has 640 divisors, whose sum is σ = 321090560000. Its totient is φ = 27060853248.

The previous prime is 95448541963. The next prime is 95448541997. The reversal of 95448541968 is 86914584459.

95448541968 is a `hidden beast` number, since 9 + 54 + 485 + 41 + 9 + 68 = 666.

It is a super-2 number, since 2×95448541968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95448541963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1208209353 + ... + 1208209431.

It is an arithmetic number, because the mean of its divisors is an integer number (501704000).

Almost surely, 2^95448541968 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 95448541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160545280000).

95448541968 is an abundant number, since it is smaller than the sum of its proper divisors (225642018032).

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

95448541968 is a wasteful number, since it uses less digits than its factorization.

95448541968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 95448541968 in words is "ninety-five billion, four hundred forty-eight million, five hundred forty-one thousand, nine hundred sixty-eight".