9485201664 has 81 divisors (see below), whose sum is σ = 27361660053. Its totient is φ = 3160175616.

The previous prime is 9485201659. The next prime is 9485201669. The reversal of 9485201664 is 4661025849.

The square root of 9485201664 is 97392.

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

9485201664 is a `hidden beast` number, since 9 + 485 + 2 + 0 + 166 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9485201659) and next prime (9485201669).

It can be written as a sum of positive squares in only one way, i.e., 9410552064 + 74649600 = 97008^2 + 8640^2 .

It is not an unprimeable number, because it can be changed into a prime (9485201669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4673802 + ... + 4675830.

Almost surely, 2^9485201664 is an apocalyptic number.

9485201664 is the 97392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9485201664

9485201664 is an abundant number, since it is smaller than the sum of its proper divisors (17876458389).

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

9485201664 is an frugal number, since it uses more digits than its factorization.

9485201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 9485201664 is about 2116.8115164008.

The spelling of 9485201664 in words is "nine billion, four hundred eighty-five million, two hundred one thousand, six hundred sixty-four".