9840116514816 has 675 divisors, whose sum is σ = 34285775582289. Its totient is φ = 2804234452992.

The previous prime is 9840116514773. The next prime is 9840116514817. The reversal of 9840116514816 is 6184156110489.

The square root of 9840116514816 is 3136896.

It is a perfect power (a square), and thus also a powerful number.

9840116514816 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 116 + 514 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2322868617216 + 7517247897600 = 1524096^2 + 2741760^2 .

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 (9840116514817) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25295929150 + ... + 25295929538.

Almost surely, 2^{9840116514816} is an apocalyptic number.

9840116514816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9840116514816 is the 3136896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9840116514816

9840116514816 is an abundant number, since it is smaller than the sum of its proper divisors (24445659067473).

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

9840116514816 is an frugal number, since it uses more digits than its factorization.

9840116514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 9840116514816 in words is "nine trillion, eight hundred forty billion, one hundred sixteen million, five hundred fourteen thousand, eight hundred sixteen".