96453718403328 has 2304 divisors, whose sum is σ = 365452600934400. Its totient is φ = 24650850631680.

The previous prime is 96453718403327. The next prime is 96453718403351. The reversal of 96453718403328 is 82330481735469.

It is a happy number.

96453718403328 is a `hidden beast` number, since 9 + 6 + 4 + 537 + 1 + 8 + 40 + 33 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (96453718403327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88246768350 + ... + 88246769442.

It is a 2-persistent number, because it is pandigital, and so is 2⋅96453718403328 = 192907436806656, but 3⋅96453718403328 = 289361155209984 is not.

Almost surely, 2^{96453718403328} 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 96453718403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182726300467200).

96453718403328 is an abundant number, since it is smaller than the sum of its proper divisors (268998882531072).

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

96453718403328 is a wasteful number, since it uses less digits than its factorization.

96453718403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 96453718403328 in words is "ninety-six trillion, four hundred fifty-three billion, seven hundred eighteen million, four hundred three thousand, three hundred twenty-eight".