9997346016 has 144 divisors (see below), whose sum is σ = 32883387264. Its totient is φ = 2821923072.

The previous prime is 9997346011. The next prime is 9997346027. The reversal of 9997346016 is 6106437999.

9997346016 is a `hidden beast` number, since 99 + 97 + 3 + 460 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997346011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137455 + ... + 197201.

It is an arithmetic number, because the mean of its divisors is an integer number (228356856).

Almost surely, 2^9997346016 is an apocalyptic number.

9997346016 is a gapful number since it is divisible by the number (96) 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 9997346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441693632).

9997346016 is an abundant number, since it is smaller than the sum of its proper divisors (22886041248).

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

9997346016 is a wasteful number, since it uses less digits than its factorization.

9997346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59853 (or 59842 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9997346016 is about 99986.7291994293. The cubic root of 9997346016 is about 2154.2440786617.

The spelling of 9997346016 in words is "nine billion, nine hundred ninety-seven million, three hundred forty-six thousand, sixteen".