1129928606361 has 45 divisors (see below), whose sum is σ = 1709700895749. Its totient is φ = 743687019144.

The previous prime is 1129928606347. The next prime is 1129928606377. The reversal of 1129928606361 is 1636068299211.

The square root of 1129928606361 is 1062981.

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

1129928606361 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 28 + 606 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 1129928606361 - 2¹⁵ = 1129928573593 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1129928606298 and 1129928606307.

It is not an unprimeable number, because it can be changed into a prime (1129928606461) 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 44 ways as a sum of consecutive naturals, for example, 794046096 + ... + 794047518.

Almost surely, 2^{1129928606361} is an apocalyptic number.

1129928606361 is the 1062981-st square number.

1129928606361 is the 531491-st centered octagonal number.

It is an amenable number.

1129928606361 is a deficient number, since it is larger than the sum of its proper divisors (579772289388).

1129928606361 is an frugal number, since it uses more digits than its factorization.

1129928606361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1129928606361 in words is "one trillion, one hundred twenty-nine billion, nine hundred twenty-eight million, six hundred six thousand, three hundred sixty-one".