96814345068 has 240 divisors, whose sum is σ = 304878530880. Its totient is φ = 26202548736.

The previous prime is 96814345063. The next prime is 96814345079. The reversal of 96814345068 is 86054341869.

96814345068 is a `hidden beast` number, since 96 + 8 + 1 + 43 + 4 + 506 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96814345063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3472030 + ... + 3499802.

It is an arithmetic number, because the mean of its divisors is an integer number (1270327212).

Almost surely, 2^96814345068 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 96814345068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152439265440).

96814345068 is an abundant number, since it is smaller than the sum of its proper divisors (208064185812).

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

96814345068 is a wasteful number, since it uses less digits than its factorization.

96814345068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27878 (or 27867 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 96814345068 in words is "ninety-six billion, eight hundred fourteen million, three hundred forty-five thousand, sixty-eight".