33481314441 has 39 divisors (see below), whose sum is σ = 50422824733. Its totient is φ = 22231948500.

The previous prime is 33481314403. The next prime is 33481314469. The reversal of 33481314441 is 14441318433.

The square root of 33481314441 is 182979.

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

33481314441 is a `hidden beast` number, since 33 + 481 + 3 + 144 + 4 + 1 = 666.

It is not a de Polignac number, because 33481314441 - 2⁷ = 33481314313 is a prime.

It is a super-2 number, since 2×33481314441² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33481314396 and 33481314405.

It is not an unprimeable number, because it can be changed into a prime (33481314481) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 133391566 + ... + 133391816.

Almost surely, 2^33481314441 is an apocalyptic number.

33481314441 is the 182979-th square number.

33481314441 is the 91490-th centered octagonal number.

It is an amenable number.

33481314441 is a deficient number, since it is larger than the sum of its proper divisors (16941510292).

33481314441 is an frugal number, since it uses more digits than its factorization.

33481314441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 254 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Multiplying 33481314441 by its sum of digits (36), we get a square (1205327319876 = 1097874²).

The spelling of 33481314441 in words is "thirty-three billion, four hundred eighty-one million, three hundred fourteen thousand, four hundred forty-one".