95584296645 has 168 divisors, whose sum is σ = 192222141336. Its totient is φ = 45443690496.

The previous prime is 95584296601. The next prime is 95584296667. The reversal of 95584296645 is 54669248559.

It is a happy number.

95584296645 is a `hidden beast` number, since 9 + 5 + 584 + 2 + 9 + 6 + 6 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11276528481 + 84307768164 = 106191^2 + 290358^2 .

It is not a de Polignac number, because 95584296645 - 2²⁰ = 95583248069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22367229 + ... + 22371501.

Almost surely, 2^95584296645 is an apocalyptic number.

95584296645 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

95584296645 is an abundant number, since it is smaller than the sum of its proper divisors (96637844691).

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

95584296645 is a wasteful number, since it uses less digits than its factorization.

95584296645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4317 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 95584296645 in words is "ninety-five billion, five hundred eighty-four million, two hundred ninety-six thousand, six hundred forty-five".