4617311356849 has 27 divisors (see below), whose sum is σ = 4767590297451. Its totient is φ = 4471724184720.

The previous prime is 4617311356829. The next prime is 4617311356859. The reversal of 4617311356849 is 9486531137164.

The square root of 4617311356849 is 2148793.

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., 3389071129249 + 1228240227600 = 1840943^2 + 1108260^2 .

It is not a de Polignac number, because 4617311356849 - 2¹⁵ = 4617311324081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4617311356793 and 4617311356802.

It is not an unprimeable number, because it can be changed into a prime (4617311356829) 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, 13230118327 + ... + 13230118675.

Almost surely, 2^{4617311356849} is an apocalyptic number.

4617311356849 is the 2148793-rd square number.

4617311356849 is the 1074397-th centered octagonal number.

It is an amenable number.

4617311356849 is a deficient number, since it is larger than the sum of its proper divisors (150278940602).

4617311356849 is an frugal number, since it uses more digits than its factorization.

4617311356849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 4617311356849 in words is "four trillion, six hundred seventeen billion, three hundred eleven million, three hundred fifty-six thousand, eight hundred forty-nine".