1826749574329 has 9 divisors (see below), whose sum is σ = 1877506949997. Its totient is φ = 1777329307584.

The previous prime is 1826749574317. The next prime is 1826749574371. The reversal of 1826749574329 is 9234759476281.

The square root of 1826749574329 is 1351573.

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 817423933225 + 1009325641104 = 904115^2 + 1004652^2 .

It is not a de Polignac number, because 1826749574329 - 2²³ = 1826741185721 is a prime.

It is a super-2 number, since 2×1826749574329² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1826749577329) 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, 49989937 + ... + 50026465.

It is an arithmetic number, because the mean of its divisors is an integer number (208611883333).

Almost surely, 2^{1826749574329} is an apocalyptic number.

1826749574329 is the 1351573-rd square number.

1826749574329 is the 675787-th centered octagonal number.

It is an amenable number.

1826749574329 is a deficient number, since it is larger than the sum of its proper divisors (50757375668).

1826749574329 is an frugal number, since it uses more digits than its factorization.

1826749574329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73132 (or 36566 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 67.

The spelling of 1826749574329 in words is "one trillion, eight hundred twenty-six billion, seven hundred forty-nine million, five hundred seventy-four thousand, three hundred twenty-nine".