95464841472 has 1296 divisors, whose sum is σ = 384733649664. Its totient is φ = 22140518400.

The previous prime is 95464841471. The next prime is 95464841497. The reversal of 95464841472 is 27414846459.

95464841472 is a `hidden beast` number, since 9 + 546 + 4 + 84 + 14 + 7 + 2 = 666.

It is a super-2 number, since 2×95464841472² (a number of 23 digits) contains 22 as substring.

Its product of digits (7741440) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (95464841471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1344575197 + ... + 1344575267.

It is an arithmetic number, because the mean of its divisors is an integer number (296862384).

Almost surely, 2^95464841472 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 95464841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192366824832).

95464841472 is an abundant number, since it is smaller than the sum of its proper divisors (289268808192).

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

95464841472 is a wasteful number, since it uses less digits than its factorization.

95464841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 95464841472 in words is "ninety-five billion, four hundred sixty-four million, eight hundred forty-one thousand, four hundred seventy-two".