4716380788729 has 9 divisors (see below), whose sum is σ = 4884687899247. Its totient is φ = 4553686160184.

The previous prime is 4716380788727. The next prime is 4716380788733. The reversal of 4716380788729 is 9278870836174.

The square root of 4716380788729 is 2171723.

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

It can be written as a sum of positive squares in only one way, i.e., 2473155681129 + 2243225107600 = 1572627^2 + 1497740^2 .

It is not a de Polignac number, because 4716380788729 - 2¹ = 4716380788727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4716380788727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62942524 + ... + 63017410.

Almost surely, 2^{4716380788729} is an apocalyptic number.

4716380788729 is the 2171723-rd square number.

4716380788729 is the 1085862-nd centered octagonal number.

It is an amenable number.

4716380788729 is a deficient number, since it is larger than the sum of its proper divisors (168307110518).

4716380788729 is an frugal number, since it uses more digits than its factorization.

4716380788729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149832 (or 74916 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 70.

The spelling of 4716380788729 in words is "four trillion, seven hundred sixteen billion, three hundred eighty million, seven hundred eighty-eight thousand, seven hundred twenty-nine".