1832917945609 has 9 divisors (see below), whose sum is σ = 1849436366869. Its totient is φ = 1816545801280.

The previous prime is 1832917945603. The next prime is 1832917945613. The reversal of 1832917945609 is 9065497192381.

The square root of 1832917945609 is 1353853.

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 4548828025 + 1828369117584 = 67445^2 + 1352172^2 .

It is not a de Polignac number, because 1832917945609 - 2³ = 1832917945601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1832917945601) 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, 152979399 + ... + 152991379.

It is a 1-persistent number, because it is pandigital, but 2⋅1832917945609 = 3665835891218 is not.

Almost surely, 2^{1832917945609} is an apocalyptic number.

1832917945609 is the 1353853-rd square number.

1832917945609 is the 676927-th centered octagonal number.

It is an amenable number.

1832917945609 is a deficient number, since it is larger than the sum of its proper divisors (16518421260).

1832917945609 is an frugal number, since it uses more digits than its factorization.

1832917945609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24188 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

Multiplying 1832917945609 by its sum of digits (64), we get a square (117306748518976 = 10830824²).

The spelling of 1832917945609 in words is "one trillion, eight hundred thirty-two billion, nine hundred seventeen million, nine hundred forty-five thousand, six hundred nine".