96414144000 has 320 divisors, whose sum is σ = 321461300160. Its totient is φ = 25637683200.

The previous prime is 96414143993. The next prime is 96414144007. The reversal of 96414144000 is 44141469.

It is an interprime number because it is at equal distance from previous prime (96414143993) and next prime (96414144007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96414144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125375616 + ... + 125376384.

It is an arithmetic number, because the mean of its divisors is an integer number (1004566563).

Almost surely, 2^96414144000 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 96414144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160730650080).

96414144000 is an abundant number, since it is smaller than the sum of its proper divisors (225047156160).

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

96414144000 is an equidigital number, since it uses as much as digits as its factorization.

96414144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 96414144000 its reverse (44141469), we get a palindrome (96458285469).

The spelling of 96414144000 in words is "ninety-six billion, four hundred fourteen million, one hundred forty-four thousand".