32497116807168 has 1536 divisors, whose sum is σ = 113254672003200. Its totient is φ = 9221865209856.

The previous prime is 32497116807161. The next prime is 32497116807187. The reversal of 32497116807168 is 86170861179423.

32497116807168 is a `hidden beast` number, since 3 + 2 + 497 + 1 + 1 + 6 + 80 + 7 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (32497116807161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103824654180 + ... + 103824654492.

Almost surely, 2^{32497116807168} 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 32497116807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56627336001600).

32497116807168 is an abundant number, since it is smaller than the sum of its proper divisors (80757555196032).

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

32497116807168 is an equidigital number, since it uses as much as digits as its factorization.

32497116807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 32497116807168 in words is "thirty-two trillion, four hundred ninety-seven billion, one hundred sixteen million, eight hundred seven thousand, one hundred sixty-eight".