96221841408 has 960 divisors, whose sum is σ = 371407196160. Its totient is φ = 24186470400.

The previous prime is 96221841367. The next prime is 96221841437. The reversal of 96221841408 is 80414812269.

96221841408 is a `hidden beast` number, since 9 + 6 + 221 + 8 + 414 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3103930353 + ... + 3103930383.

It is an arithmetic number, because the mean of its divisors is an integer number (386882496).

Almost surely, 2^96221841408 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 96221841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185703598080).

96221841408 is an abundant number, since it is smaller than the sum of its proper divisors (275185354752).

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

96221841408 is an frugal number, since it uses more digits than its factorization.

96221841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 96221841408 in words is "ninety-six billion, two hundred twenty-one million, eight hundred forty-one thousand, four hundred eight".