96444540584064 has 640 divisors, whose sum is σ = 295600440366000. Its totient is φ = 31195809054720.

The previous prime is 96444540583961. The next prime is 96444540584081. The reversal of 96444540584064 is 46048504544469.

96444540584064 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 4 + 5 + 40 + 584 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9849604774464 + 86594935809600 = 3138408^2 + 9305640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96444540583992 and 96444540584010.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90219401322 + ... + 90219402390.

Almost surely, 2^{96444540584064} 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 96444540584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147800220183000).

96444540584064 is an abundant number, since it is smaller than the sum of its proper divisors (199155899781936).

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

96444540584064 is a wasteful number, since it uses less digits than its factorization.

96444540584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 63.

The spelling of 96444540584064 in words is "ninety-six trillion, four hundred forty-four billion, five hundred forty million, five hundred eighty-four thousand, sixty-four".