96644414882400 has 1728 divisors, whose sum is σ = 412657464231936. Its totient is φ = 19407015936000.

The previous prime is 96644414882381. The next prime is 96644414882417. The reversal of 96644414882400 is 428841444669.

It is a super-2 number, since 2×96644414882400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41424951634 + ... + 41424953966.

It is an arithmetic number, because the mean of its divisors is an integer number (238806402912).

Almost surely, 2^{96644414882400} 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 96644414882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206328732115968).

96644414882400 is an abundant number, since it is smaller than the sum of its proper divisors (316013049349536).

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

96644414882400 is a wasteful number, since it uses less digits than its factorization.

96644414882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 96644414882400 in words is "ninety-six trillion, six hundred forty-four billion, four hundred fourteen million, eight hundred eighty-two thousand, four hundred".