96641391168 has 448 divisors, whose sum is σ = 339963678720. Its totient is φ = 26321670144.

The previous prime is 96641391149. The next prime is 96641391169. The reversal of 96641391168 is 86119314669.

It is a happy number.

96641391168 is a `hidden beast` number, since 9 + 66 + 413 + 9 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96641391169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156630796 + ... + 156631412.

Almost surely, 2^96641391168 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 96641391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169981839360).

96641391168 is an abundant number, since it is smaller than the sum of its proper divisors (243322287552).

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

96641391168 is a wasteful number, since it uses less digits than its factorization.

96641391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1215 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 96641391168 in words is "ninety-six billion, six hundred forty-one million, three hundred ninety-one thousand, one hundred sixty-eight".