96809344164 has 81 divisors (see below), whose sum is σ = 265050996483. Its totient is φ = 29780023104.

The previous prime is 96809344129. The next prime is 96809344187. The reversal of 96809344164 is 46144390869.

It is a happy number.

The square root of 96809344164 is 311142.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16035156900 + 80774187264 = 126630^2 + 284208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96809344164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24267082 + ... + 24271070.

Almost surely, 2^96809344164 is an apocalyptic number.

96809344164 is the 311142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96809344164

96809344164 is an abundant number, since it is smaller than the sum of its proper divisors (168241652319).

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

96809344164 is a wasteful number, since it uses less digits than its factorization.

96809344164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 96809344164 in words is "ninety-six billion, eight hundred nine million, three hundred forty-four thousand, one hundred sixty-four".