1824656656 has 45 divisors (see below), whose sum is σ = 3616186053. Its totient is φ = 891910080.

The previous prime is 1824656653. The next prime is 1824656663. The reversal of 1824656656 is 6566564281.

The square root of 1824656656 is 42716.

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., 20106256 + 1804550400 = 4484^2 + 42480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1824656653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10080886 + ... + 10081066.

Almost surely, 2^1824656656 is an apocalyptic number.

1824656656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1824656656 is the 42716-th square number.

It is an amenable number.

1824656656 is a deficient number, since it is larger than the sum of its proper divisors (1791529397).

1824656656 is an frugal number, since it uses more digits than its factorization.

1824656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 242 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The cubic root of 1824656656 is about 1221.9695535928.

Multiplying 1824656656 by its sum of digits (49), we get a square (89408176144 = 299012²).

The spelling of 1824656656 in words is "one billion, eight hundred twenty-four million, six hundred fifty-six thousand, six hundred fifty-six".