1834450827561 has 45 divisors (see below), whose sum is σ = 3012343148199. Its totient is φ = 1111707115200.

The previous prime is 1834450827511. The next prime is 1834450827571. The reversal of 1834450827561 is 1657280544381.

It is a happy number.

The square root of 1834450827561 is 1354419.

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

1834450827561 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 4 + 50 + 8 + 27 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1715756797161 + 118694030400 = 1309869^2 + 344520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1834450827561 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 junction number, because it is equal to n+sod(n) for n = 1834450827498 and 1834450827507.

It is not an unprimeable number, because it can be changed into a prime (1834450827511) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 134080641 + ... + 134094321.

Almost surely, 2^{1834450827561} is an apocalyptic number.

1834450827561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1834450827561 is the 1354419-th square number.

1834450827561 is the 677210-th centered octagonal number.

It is an amenable number.

1834450827561 is a deficient number, since it is larger than the sum of its proper divisors (1177892320638).

1834450827561 is an frugal number, since it uses more digits than its factorization.

1834450827561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 13695 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1834450827561 in words is "one trillion, eight hundred thirty-four billion, four hundred fifty million, eight hundred twenty-seven thousand, five hundred sixty-one".