1064192370409 has 45 divisors (see below), whose sum is σ = 1278190741317. Its totient is φ = 885952009152.

The previous prime is 1064192370403. The next prime is 1064192370443. The reversal of 1064192370409 is 9040732914601.

The square root of 1064192370409 is 1031597.

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 8173064025 + 1056019306384 = 90405^2 + 1027628^2 .

It is not a de Polignac number, because 1064192370409 - 2⁹ = 1064192369897 is a prime.

It is a super-2 number, since 2×1064192370409² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064192370403) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1870285077 + ... + 1870285645.

Almost surely, 2^{1064192370409} is an apocalyptic number.

1064192370409 is the 1031597-th square number.

1064192370409 is the 515799-th centered octagonal number.

It is an amenable number.

1064192370409 is a deficient number, since it is larger than the sum of its proper divisors (213998370908).

1064192370409 is an frugal number, since it uses more digits than its factorization.

1064192370409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 1064192370409 in words is "one trillion, sixty-four billion, one hundred ninety-two million, three hundred seventy thousand, four hundred nine".