96181171840000 has 1485 divisors, whose sum is σ = 278759948121039. Its totient is φ = 33140490240000.

The previous prime is 96181171839947. The next prime is 96181171840009. The reversal of 96181171840000 is 4817118169.

The square root of 96181171840000 is 9807200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 10236109169664 + 85945062670336 = 3199392^2 + 9270656^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (96181171840009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2345882239980 + ... + 2345882240020.

Almost surely, 2^{96181171840000} is an apocalyptic number.

96181171840000 is the 9807200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96181171840000

96181171840000 is an abundant number, since it is smaller than the sum of its proper divisors (182578776281039).

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

96181171840000 is an equidigital number, since it uses as much as digits as its factorization.

96181171840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 46.

Adding to 96181171840000 its reverse (4817118169), we get a palindrome (96185988958169).

The spelling of 96181171840000 in words is "ninety-six trillion, one hundred eighty-one billion, one hundred seventy-one million, eight hundred forty thousand".