321133818922849 has 27 divisors (see below), whose sum is σ = 335957678415057. Its totient is φ = 306957232766184.

The previous prime is 321133818922831. The next prime is 321133818922879. The reversal of 321133818922849 is 948229818331123.

The square root of 321133818922849 is 17920207.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 321133818922849 - 2⁴¹ = 318934795667297 is a prime.

It is a super-2 number, since 2×321133818922849² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321133818922879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36216733914 + ... + 36216742780.

Almost surely, 2^{321133818922849} is an apocalyptic number.

321133818922849 is the 17920207-th square number.

321133818922849 is the 8960104-th centered octagonal number.

It is an amenable number.

321133818922849 is a deficient number, since it is larger than the sum of its proper divisors (14823859492208).

321133818922849 is an frugal number, since it uses more digits than its factorization.

321133818922849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17914 (or 8957 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 64.

The spelling of 321133818922849 in words is "three hundred twenty-one trillion, one hundred thirty-three billion, eight hundred eighteen million, nine hundred twenty-two thousand, eight hundred forty-nine".