4705328857329 has 27 divisors (see below), whose sum is σ = 6865504329099. Its totient is φ = 3105393793200.

The previous prime is 4705328857301. The next prime is 4705328857331. The reversal of 4705328857329 is 9237588235074.

The square root of 4705328857329 is 2169177.

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

4705328857329 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 32 + 8 + 8 + 573 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4520824245729 + 184504611600 = 2126223^2 + 429540^2 .

It is not a de Polignac number, because 4705328857329 - 2³⁹ = 4155573043441 is a prime.

It is a super-2 number, since 2×4705328857329² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4705328857379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 657257052 + ... + 657264210.

Almost surely, 2^{4705328857329} is an apocalyptic number.

4705328857329 is the 2169177-th square number.

4705328857329 is the 1084589-th centered octagonal number.

It is an amenable number.

4705328857329 is a deficient number, since it is larger than the sum of its proper divisors (2160175471770).

4705328857329 is an frugal number, since it uses more digits than its factorization.

4705328857329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 4705328857329 in words is "four trillion, seven hundred five billion, three hundred twenty-eight million, eight hundred fifty-seven thousand, three hundred twenty-nine".