1842917566681 has 9 divisors (see below), whose sum is σ = 1861483428669. Its totient is φ = 1824535104000.

The previous prime is 1842917566673. The next prime is 1842917566691. The reversal of 1842917566681 is 1866657192481.

The square root of 1842917566681 is 1357541.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59784651081 + 1783132915600 = 244509^2 + 1335340^2 .

It is not a de Polignac number, because 1842917566681 - 2³ = 1842917566673 is a prime.

It is a super-2 number, since 2×1842917566681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1842917566601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137104921 + ... + 137118361.

Almost surely, 2^{1842917566681} is an apocalyptic number.

1842917566681 is the 1357541-st square number.

1842917566681 is the 678771-st centered octagonal number.

It is an amenable number.

1842917566681 is a deficient number, since it is larger than the sum of its proper divisors (18565861988).

1842917566681 is an frugal number, since it uses more digits than its factorization.

1842917566681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27084 (or 13542 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 64.

Multiplying 1842917566681 by its sum of digits (64), we get a square (117946724267584 = 10860328²).

The spelling of 1842917566681 in words is "one trillion, eight hundred forty-two billion, nine hundred seventeen million, five hundred sixty-six thousand, six hundred eighty-one".