33321216681 has 27 divisors (see below), whose sum is σ = 48875120983. Its totient is φ = 21875713440.

The previous prime is 33321216661. The next prime is 33321216701. The reversal of 33321216681 is 18661212333.

The square root of 33321216681 is 182541.

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

It is an interprime number because it is at equal distance from previous prime (33321216661) and next prime (33321216701).

It can be written as a sum of positive squares in only one way, i.e., 30879275625 + 2441941056 = 175725^2 + 49416^2 .

It is not a de Polignac number, because 33321216681 - 2⁹ = 33321216169 is a prime.

It is a super-2 number, since 2×33321216681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33321216611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38880805 + ... + 38881661.

Almost surely, 2^33321216681 is an apocalyptic number.

33321216681 is the 182541-st square number.

33321216681 is the 91271-st centered octagonal number.

It is an amenable number.

33321216681 is a deficient number, since it is larger than the sum of its proper divisors (15553904302).

33321216681 is an frugal number, since it uses more digits than its factorization.

33321216681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Multiplying 33321216681 by its sum of digits (36), we get a square (1199563800516 = 1095246²).

The spelling of 33321216681 in words is "thirty-three billion, three hundred twenty-one million, two hundred sixteen thousand, six hundred eighty-one".