9693857342016 has 315 divisors, whose sum is σ = 29141948050633. Its totient is φ = 3186227266560.

The previous prime is 9693857342009. The next prime is 9693857342051. The reversal of 9693857342016 is 6102437583969.

The square root of 9693857342016 is 3113496.

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

9693857342016 is a `hidden beast` number, since 9 + 6 + 9 + 3 + 8 + 573 + 42 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2779902628416 + 6913954713600 = 1667304^2 + 2629440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18606251836 + ... + 18606252356.

It is a 1-persistent number, because it is pandigital, but 2⋅9693857342016 = 19387714684032 is not.

Almost surely, 2^{9693857342016} is an apocalyptic number.

9693857342016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9693857342016 is the 3113496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9693857342016

9693857342016 is an abundant number, since it is smaller than the sum of its proper divisors (19448090708617).

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

9693857342016 is an frugal number, since it uses more digits than its factorization.

9693857342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9693857342016 in words is "nine trillion, six hundred ninety-three billion, eight hundred fifty-seven million, three hundred forty-two thousand, sixteen".