1842890415961 has 81 divisors (see below), whose sum is σ = 2314917599391. Its totient is φ = 1462614759648.

The previous prime is 1842890415953. The next prime is 1842890416019. The reversal of 1842890415961 is 1695140982481.

The square root of 1842890415961 is 1357531.

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

It can be written as a sum of positive squares in only one way, i.e., 1676390510025 + 166499905936 = 1294755^2 + 408044^2 .

It is not a de Polignac number, because 1842890415961 - 2³ = 1842890415953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1842890415896 and 1842890415905.

It is not an unprimeable number, because it can be changed into a prime (1842890415931) 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, 10652545671 + ... + 10652545843.

Almost surely, 2^{1842890415961} is an apocalyptic number.

1842890415961 is the 1357531-st square number.

1842890415961 is the 678766-th centered octagonal number.

It is an amenable number.

1842890415961 is a deficient number, since it is larger than the sum of its proper divisors (472027183430).

1842890415961 is an frugal number, since it uses more digits than its factorization.

1842890415961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 1842890415961 in words is "one trillion, eight hundred forty-two billion, eight hundred ninety million, four hundred fifteen thousand, nine hundred sixty-one".