9846814408704 has 1320 divisors, whose sum is σ = 37149780531600. Its totient is φ = 2596962041856.

The previous prime is 9846814408699. The next prime is 9846814408733. The reversal of 9846814408704 is 4078044186489.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9846814408704 is a `hidden beast` number, since 9 + 8 + 46 + 81 + 440 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 757447262202 + ... + 757447262214.

It is an arithmetic number, because the mean of its divisors is an integer number (28143773130).

Almost surely, 2^{9846814408704} 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 9846814408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574890265800).

9846814408704 is an abundant number, since it is smaller than the sum of its proper divisors (27302966122896).

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

9846814408704 is an frugal number, since it uses more digits than its factorization.

9846814408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 9846814408704 in words is "nine trillion, eight hundred forty-six billion, eight hundred fourteen million, four hundred eight thousand, seven hundred four".