8185830265921 has 81 divisors (see below), whose sum is σ = 10632884481513. Its totient is φ = 6278831475840.

The previous prime is 8185830265903. The next prime is 8185830265937. The reversal of 8185830265921 is 1295620385818.

The square root of 8185830265921 is 2861089.

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 1278584255025 + 6907246010896 = 1130745^2 + 2628164^2 .

It is not a de Polignac number, because 8185830265921 - 2²¹ = 8185828168769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8185830265981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16082181015 + ... + 16082181523.

Almost surely, 2^{8185830265921} is an apocalyptic number.

8185830265921 is the 2861089-th square number.

8185830265921 is the 1430545-th centered octagonal number.

It is an amenable number.

8185830265921 is a deficient number, since it is larger than the sum of its proper divisors (2447054215592).

8185830265921 is an frugal number, since it uses more digits than its factorization.

8185830265921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 8185830265921 in words is "eight trillion, one hundred eighty-five billion, eight hundred thirty million, two hundred sixty-five thousand, nine hundred twenty-one".