1833023547664 has 15 divisors (see below), whose sum is σ = 3551493616293. Its totient is φ = 916509066048.

The previous prime is 1833023547661. The next prime is 1833023547679. The reversal of 1833023547664 is 4667453203381.

The square root of 1833023547664 is 1353892.

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., 1272609610000 + 560413937664 = 1128100^2 + 748608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1833023547661) 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 2 ways as a sum of consecutive naturals, for example, 5246332 + ... + 5584804.

Almost surely, 2^{1833023547664} is an apocalyptic number.

1833023547664 is the 1353892-nd square number.

It is an amenable number.

1833023547664 is a deficient number, since it is larger than the sum of its proper divisors (1718470068629).

1833023547664 is an frugal number, since it uses more digits than its factorization.

1833023547664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676954 (or 338475 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 1833023547664 in words is "one trillion, eight hundred thirty-three billion, twenty-three million, five hundred forty-seven thousand, six hundred sixty-four".