1823291185849 has 45 divisors (see below), whose sum is σ = 2260921658541. Its totient is φ = 1469982971520.

The previous prime is 1823291185801. The next prime is 1823291185907. The reversal of 1823291185849 is 9485811923281.

The square root of 1823291185849 is 1350293.

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 545640755625 + 1277650430224 = 738675^2 + 1130332^2 .

It is not a de Polignac number, because 1823291185849 - 2⁷ = 1823291185721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1823291185249) 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, 1124793259 + ... + 1124794879.

Almost surely, 2^{1823291185849} is an apocalyptic number.

1823291185849 is the 1350293-rd square number.

1823291185849 is the 675147-th centered octagonal number.

It is an amenable number.

1823291185849 is a deficient number, since it is larger than the sum of its proper divisors (437630472692).

1823291185849 is an frugal number, since it uses more digits than its factorization.

1823291185849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 1645 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 61.

The spelling of 1823291185849 in words is "one trillion, eight hundred twenty-three billion, two hundred ninety-one million, one hundred eighty-five thousand, eight hundred forty-nine".