1842586341561 has 81 divisors (see below), whose sum is σ = 3183807349359. Its totient is φ = 1023863143968.

The previous prime is 1842586341529. The next prime is 1842586341577. The reversal of 1842586341561 is 1651436852481.

The square root of 1842586341561 is 1357419.

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

1842586341561 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 586 + 3 + 4 + 1 + 56 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1648771562025 + 193814779536 = 1284045^2 + 440244^2 .

It is not a de Polignac number, because 1842586341561 - 2⁵ = 1842586341529 is a prime.

It is a super-2 number, since 2×1842586341561² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1842586341498 and 1842586341507.

It is not an unprimeable number, because it can be changed into a prime (1842586341061) 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, 1054713690 + ... + 1054715436.

Almost surely, 2^{1842586341561} is an apocalyptic number.

1842586341561 is the 1357419-th square number.

1842586341561 is the 678710-th centered octagonal number.

It is an amenable number.

1842586341561 is a deficient number, since it is larger than the sum of its proper divisors (1341221007798).

1842586341561 is an frugal number, since it uses more digits than its factorization.

1842586341561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 1794 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 1842586341561 in words is "one trillion, eight hundred forty-two billion, five hundred eighty-six million, three hundred forty-one thousand, five hundred sixty-one".