33346046881 has 27 divisors (see below), whose sum is σ = 40969185651. Its totient is φ = 27058271184.

The previous prime is 33346046869. The next prime is 33346046911. The reversal of 33346046881 is 18864064333.

The square root of 33346046881 is 182609.

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

It can be written as a sum of positive squares in only one way, i.e., 32958587025 + 387459856 = 181545^2 + 19684^2 .

It is not a de Polignac number, because 33346046881 - 2¹⁷ = 33345915809 is a prime.

It is a super-2 number, since 2×33346046881² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33346046831) 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, 24286311 + ... + 24287683.

Almost surely, 2^33346046881 is an apocalyptic number.

33346046881 is the 182609-th square number.

33346046881 is the 91305-th centered octagonal number.

It is an amenable number.

33346046881 is a deficient number, since it is larger than the sum of its proper divisors (7623138770).

33346046881 is an frugal number, since it uses more digits than its factorization.

33346046881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 33346046881 in words is "thirty-three billion, three hundred forty-six million, forty-six thousand, eight hundred eighty-one".