7689723111225 has 243 divisors, whose sum is σ = 14747806651981. Its totient is φ = 3977197718400.

The previous prime is 7689723111211. The next prime is 7689723111241. The reversal of 7689723111225 is 5221113279867.

The square root of 7689723111225 is 2773035.

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 3236728426281 + 4452994684944 = 1799091^2 + 2110212^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 7689723111225 - 2³⁷ = 7552284157753 is a prime.

It is a Duffinian number.

Its product of digits (2540160) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 46046246092 + ... + 46046246258.

Almost surely, 2^{7689723111225} is an apocalyptic number.

7689723111225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7689723111225 is the 2773035-th square number.

7689723111225 is the 1386518-th centered octagonal number.

It is an amenable number.

7689723111225 is a deficient number, since it is larger than the sum of its proper divisors (7058083540756).

7689723111225 is an frugal number, since it uses more digits than its factorization.

7689723111225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 216 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 7689723111225 in words is "seven trillion, six hundred eighty-nine billion, seven hundred twenty-three million, one hundred eleven thousand, two hundred twenty-five".