9705692236816 has 45 divisors (see below), whose sum is σ = 19658506099519. Its totient is φ = 4641715731488.

The previous prime is 9705692236769. The next prime is 9705692236829. The reversal of 9705692236816 is 6186322965079.

The square root of 9705692236816 is 3115396.

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

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 286599501 + ... + 286633363.

Almost surely, 2^{9705692236816} is an apocalyptic number.

9705692236816 is the 3115396-th square number.

It is an amenable number.

9705692236816 is an abundant number, since it is smaller than the sum of its proper divisors (9952813862703).

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

9705692236816 is an frugal number, since it uses more digits than its factorization.

9705692236816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67780 (or 33888 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 9705692236816 by its sum of digits (64), we get a square (621164303156224 = 24923168²).

The spelling of 9705692236816 in words is "nine trillion, seven hundred five billion, six hundred ninety-two million, two hundred thirty-six thousand, eight hundred sixteen".