829430954361 has 81 divisors (see below), whose sum is σ = 1277879968911. Its totient is φ = 518373513504.

The previous prime is 829430954327. The next prime is 829430954509. The reversal of 829430954361 is 163459034928.

The square root of 829430954361 is 910731.

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

829430954361 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 30 + 9 + 543 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 812675205225 + 16755749136 = 901485^2 + 129444^2 .

It is not a de Polignac number, because 829430954361 - 2¹¹ = 829430952313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 829430954298 and 829430954307.

It is not an unprimeable number, because it can be changed into a prime (829430254361) 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, 4210309315 + ... + 4210309511.

Almost surely, 2^829430954361 is an apocalyptic number.

829430954361 is the 910731-st square number.

829430954361 is the 455366-th centered octagonal number.

It is an amenable number.

829430954361 is a deficient number, since it is larger than the sum of its proper divisors (448449014550).

829430954361 is an equidigital number, since it uses as much as digits as its factorization.

829430954361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 829430954361 in words is "eight hundred twenty-nine billion, four hundred thirty million, nine hundred fifty-four thousand, three hundred sixty-one".