1680837053841 has 81 divisors (see below), whose sum is σ = 2836097945499. Its totient is φ = 958351363200.

The previous prime is 1680837053839. The next prime is 1680837053849. The reversal of 1680837053841 is 1483507380861.

It is a happy number.

The square root of 1680837053841 is 1296471.

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

1680837053841 is a `hidden beast` number, since 1 + 68 + 0 + 8 + 3 + 7 + 0 + 538 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1308610163025 + 372226890816 = 1143945^2 + 610104^2 .

It is not a de Polignac number, because 1680837053841 - 2¹ = 1680837053839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1680837053849) 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 80 ways as a sum of consecutive naturals, for example, 727319076 + ... + 727321386.

Almost surely, 2^{1680837053841} is an apocalyptic number.

1680837053841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1680837053841 is the 1296471-st square number.

1680837053841 is the 648236-th centered octagonal number.

It is an amenable number.

1680837053841 is a deficient number, since it is larger than the sum of its proper divisors (1155260891658).

1680837053841 is an equidigital number, since it uses as much as digits as its factorization.

1680837053841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1680837053841 in words is "one trillion, six hundred eighty billion, eight hundred thirty-seven million, fifty-three thousand, eight hundred forty-one".