33684848938225 has 27 divisors (see below), whose sum is σ = 42351895248579. Its totient is φ = 26577058608000.

The previous prime is 33684848938211. The next prime is 33684848938297. The reversal of 33684848938225 is 52283984848633.

The square root of 33684848938225 is 5803865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 786089704689 + 32898759233536 = 886617^2 + 5735744^2 .

It is not a de Polignac number, because 33684848938225 - 2⁹ = 33684848937713 is a prime.

It is a super-2 number, since 2×33684848938225² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2118402775 + ... + 2118418675.

Almost surely, 2^{33684848938225} is an apocalyptic number.

33684848938225 is the 5803865-th square number.

33684848938225 is the 2901933-rd centered octagonal number.

It is an amenable number.

33684848938225 is a deficient number, since it is larger than the sum of its proper divisors (8667046310354).

33684848938225 is an frugal number, since it uses more digits than its factorization.

33684848938225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31958 (or 15979 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 73.

The spelling of 33684848938225 in words is "thirty-three trillion, six hundred eighty-four billion, eight hundred forty-eight million, nine hundred thirty-eight thousand, two hundred twenty-five".