8303664665664 has 63 divisors (see below), whose sum is σ = 23801153723607. Its totient is φ = 2767865169024.

The previous prime is 8303664665651. The next prime is 8303664665669. The reversal of 8303664665664 is 4665664663038.

The square root of 8303664665664 is 2881608.

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

8303664665664 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 6 + 6 + 4 + 66 + 566 + 4 = 666.

It is a super-3 number, since 3×8303664665664³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8303664665669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69098559 + ... + 69218625.

Almost surely, 2^{8303664665664} is an apocalyptic number.

8303664665664 is the 2881608-th square number.

It is an amenable number.

8303664665664 is an abundant number, since it is smaller than the sum of its proper divisors (15497489057943).

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

8303664665664 is an frugal number, since it uses more digits than its factorization.

8303664665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240152 (or 120072 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 8303664665664 in words is "eight trillion, three hundred three billion, six hundred sixty-four million, six hundred sixty-five thousand, six hundred sixty-four".