96978046814064 has 640 divisors, whose sum is σ = 327229355980800. Its totient is φ = 27237728010240.

The previous prime is 96978046814063. The next prime is 96978046814111. The reversal of 96978046814064 is 46041864087969.

It is a happy number.

96978046814064 is a `hidden beast` number, since 9 + 6 + 97 + 8 + 0 + 468 + 14 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96978046813983 and 96978046814001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96978046814063) 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 127 ways as a sum of consecutive naturals, for example, 406529704 + ... + 406768184.

It is an arithmetic number, because the mean of its divisors is an integer number (511295868720).

Almost surely, 2^{96978046814064} 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 96978046814064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614677990400).

96978046814064 is an abundant number, since it is smaller than the sum of its proper divisors (230251309166736).

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

96978046814064 is a wasteful number, since it uses less digits than its factorization.

96978046814064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238670 (or 238658 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 96978046814064 in words is "ninety-six trillion, nine hundred seventy-eight billion, forty-six million, eight hundred fourteen thousand, sixty-four".