33853424049 has 9 divisors (see below), whose sum is σ = 48900187609. Its totient is φ = 22568581380.

The previous prime is 33853424027. The next prime is 33853424051. The reversal of 33853424049 is 94042435833.

The square root of 33853424049 is 183993.

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

33853424049 is a `hidden beast` number, since 3 + 38 + 534 + 2 + 40 + 49 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 33853424049 - 2²⁵ = 33819869617 is a prime.

It is a super-2 number, since 2×33853424049² (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 = 33853423995 and 33853424013.

It is not an unprimeable number, because it can be changed into a prime (33853424009) 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 8 ways as a sum of consecutive naturals, for example, 521314 + ... + 582644.

Almost surely, 2^33853424049 is an apocalyptic number.

33853424049 is the 183993-rd square number.

33853424049 is the 91997-th centered octagonal number.

It is an amenable number.

33853424049 is a deficient number, since it is larger than the sum of its proper divisors (15046763560).

33853424049 is an frugal number, since it uses more digits than its factorization.

33853424049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122668 (or 61334 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 33853424049 in words is "thirty-three billion, eight hundred fifty-three million, four hundred twenty-four thousand, forty-nine".