33545607508449 has 27 divisors (see below), whose sum is σ = 49508859306387. Its totient is φ = 21887381268144.

The previous prime is 33545607508403. The next prime is 33545607508513. The reversal of 33545607508449 is 94480570654533.

The square root of 33545607508449 is 5791857.

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

33545607508449 is a `hidden beast` number, since 3 + 3 + 545 + 6 + 0 + 7 + 5 + 0 + 84 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31373721500625 + 2171886007824 = 5601225^2 + 1473732^2 .

It is not a de Polignac number, because 33545607508449 - 2¹³ = 33545607500257 is a prime.

It is a super-2 number, since 2×33545607508449² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33545607508649) 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, 816631299 + ... + 816672375.

Almost surely, 2^{33545607508449} is an apocalyptic number.

33545607508449 is the 5791857-th square number.

33545607508449 is the 2895929-th centered octagonal number.

It is an amenable number.

33545607508449 is a deficient number, since it is larger than the sum of its proper divisors (15963251797938).

33545607508449 is an frugal number, since it uses more digits than its factorization.

33545607508449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82254 (or 41127 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 33545607508449 in words is "thirty-three trillion, five hundred forty-five billion, six hundred seven million, five hundred eight thousand, four hundred forty-nine".