6482182144 has 135 divisors (see below), whose sum is σ = 14153672883. Its totient is φ = 2967994368.

The previous prime is 6482182117. The next prime is 6482182159. The reversal of 6482182144 is 4412812846.

The square root of 6482182144 is 80512.

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 3015327744 + 3466854400 = 54912^2 + 58880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6482182097 and 6482182106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175194094 + ... + 175194130.

Almost surely, 2^6482182144 is an apocalyptic number.

6482182144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6482182144 is the 80512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6482182144

6482182144 is an abundant number, since it is smaller than the sum of its proper divisors (7671490739).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6482182144 is an frugal number, since it uses more digits than its factorization.

6482182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 56 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The cubic root of 6482182144 is about 1864.5487525787.

The spelling of 6482182144 in words is "six billion, four hundred eighty-two million, one hundred eighty-two thousand, one hundred forty-four".