10364452655769 has 27 divisors (see below), whose sum is σ = 15012410328669. Its totient is φ = 6890518383840.

The previous prime is 10364452655731. The next prime is 10364452655771. The reversal of 10364452655769 is 96755625446301.

The square root of 10364452655769 is 3219387.

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

10364452655769 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 4 + 52 + 6 + 5 + 576 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 447243950169 + 9917208705600 = 668763^2 + 3149160^2 .

It is not a de Polignac number, because 10364452655769 - 2²¹ = 10364450558617 is a prime.

It is a super-2 number, since 2×10364452655769² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10364452651769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4066084507 + ... + 4066087055.

Almost surely, 2^{10364452655769} is an apocalyptic number.

10364452655769 is the 3219387-th square number.

10364452655769 is the 1609694-th centered octagonal number.

It is an amenable number.

10364452655769 is a deficient number, since it is larger than the sum of its proper divisors (4647957672900).

10364452655769 is an frugal number, since it uses more digits than its factorization.

10364452655769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 10364452655769 in words is "ten trillion, three hundred sixty-four billion, four hundred fifty-two million, six hundred fifty-five thousand, seven hundred sixty-nine".