1681984144 has 15 divisors (see below), whose sum is σ = 3259162153. Its totient is φ = 840910048.

The previous prime is 1681984141. The next prime is 1681984163. The reversal of 1681984144 is 4414891861.

The square root of 1681984144 is 41012.

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., 198810000 + 1483174144 = 14100^2 + 38512^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1681984094 and 1681984103.

It is not an unprimeable number, because it can be changed into a prime (1681984141) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 158922 + ... + 169174.

Almost surely, 2^1681984144 is an apocalyptic number.

1681984144 is the 41012-nd square number.

It is an amenable number.

1681984144 is a deficient number, since it is larger than the sum of its proper divisors (1577178009).

1681984144 is an frugal number, since it uses more digits than its factorization.

1681984144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 10255 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The cubic root of 1681984144 is about 1189.2522063156.

The spelling of 1681984144 in words is "one billion, six hundred eighty-one million, nine hundred eighty-four thousand, one hundred forty-four".