9144672768256 has 81 divisors (see below), whose sum is σ = 18341058510999. Its totient is φ = 4550539276800.

The previous prime is 9144672768251. The next prime is 9144672768281. The reversal of 9144672768256 is 6528672764419.

The square root of 9144672768256 is 3024016.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9144672768191 and 9144672768200.

It is not an unprimeable number, because it can be changed into a prime (9144672768251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16015188451 + ... + 16015189021.

Almost surely, 2^{9144672768256} is an apocalyptic number.

9144672768256 is the 3024016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144672768256

9144672768256 is an abundant number, since it is smaller than the sum of its proper divisors (9196385742743).

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

9144672768256 is an frugal number, since it uses more digits than its factorization.

9144672768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 904 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 67.

The spelling of 9144672768256 in words is "nine trillion, one hundred forty-four billion, six hundred seventy-two million, seven hundred sixty-eight thousand, two hundred fifty-six".