1165279229361 has 81 divisors (see below), whose sum is σ = 1849271312577. Its totient is φ = 706757800320.

The previous prime is 1165279229333. The next prime is 1165279229363. The reversal of 1165279229361 is 1639229725611.

The square root of 1165279229361 is 1079481.

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

1165279229361 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 279 + 2 + 2 + 9 + 361 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 509431925025 + 655847304336 = 713745^2 + 809844^2 .

It is not a de Polignac number, because 1165279229361 - 2⁹ = 1165279228849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1165279229298 and 1165279229307.

It is not an unprimeable number, because it can be changed into a prime (1165279229363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3746878396 + ... + 3746878706.

Almost surely, 2^{1165279229361} is an apocalyptic number.

1165279229361 is the 1079481-st square number.

1165279229361 is the 539741-st centered octagonal number.

It is an amenable number.

1165279229361 is a deficient number, since it is larger than the sum of its proper divisors (683992083216).

1165279229361 is an frugal number, since it uses more digits than its factorization.

1165279229361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 416 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 1165279229361 in words is "one trillion, one hundred sixty-five billion, two hundred seventy-nine million, two hundred twenty-nine thousand, three hundred sixty-one".