4628965159009 has 27 divisors (see below), whose sum is σ = 5190478816761. Its totient is φ = 4126754874240.

The previous prime is 4628965158991. The next prime is 4628965159019. The reversal of 4628965159009 is 9009515698264.

The square root of 4628965159009 is 2151503.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2544487571025 + 2084477587984 = 1595145^2 + 1443772^2 .

It is not a de Polignac number, because 4628965159009 - 2⁵ = 4628965158977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4628965159019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 694932139 + ... + 694938799.

Almost surely, 2^{4628965159009} is an apocalyptic number.

4628965159009 is the 2151503-rd square number.

4628965159009 is the 1075752-nd centered octagonal number.

It is an amenable number.

4628965159009 is a deficient number, since it is larger than the sum of its proper divisors (561513657752).

4628965159009 is an frugal number, since it uses more digits than its factorization.

4628965159009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 64.

Multiplying 4628965159009 by its sum of digits (64), we get a square (296253770176576 = 17212024²).

The spelling of 4628965159009 in words is "four trillion, six hundred twenty-eight billion, nine hundred sixty-five million, one hundred fifty-nine thousand, nine".