96914289786912 has 1536 divisors, whose sum is σ = 345084597043200. Its totient is φ = 26162881265664.

The previous prime is 96914289786887. The next prime is 96914289786961. The reversal of 96914289786912 is 21968798241969.

96914289786912 is a `hidden beast` number, since 9 + 6 + 91 + 428 + 97 + 8 + 6 + 9 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40499075188 + ... + 40499077580.

It is an arithmetic number, because the mean of its divisors is an integer number (224664451200).

Almost surely, 2^{96914289786912} is an apocalyptic number.

96914289786912 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96914289786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172542298521600).

96914289786912 is an abundant number, since it is smaller than the sum of its proper divisors (248170307256288).

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

96914289786912 is a wasteful number, since it uses less digits than its factorization.

96914289786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2713 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 81.

The spelling of 96914289786912 in words is "ninety-six trillion, nine hundred fourteen billion, two hundred eighty-nine million, seven hundred eighty-six thousand, nine hundred twelve".