96467044128 has 288 divisors, whose sum is σ = 316190480256. Its totient is φ = 25213353984.

The previous prime is 96467044117. The next prime is 96467044139. The reversal of 96467044128 is 82144076469.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96467044117) and next prime (96467044139).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12829426 + ... + 12836942.

It is an arithmetic number, because the mean of its divisors is an integer number (1097883612).

Almost surely, 2^96467044128 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 96467044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158095240128).

96467044128 is an abundant number, since it is smaller than the sum of its proper divisors (219723436128).

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

96467044128 is a wasteful number, since it uses less digits than its factorization.

96467044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 96467044128 in words is "ninety-six billion, four hundred sixty-seven million, forty-four thousand, one hundred twenty-eight".