33968333025 has 81 divisors (see below), whose sum is σ = 66934806393. Its totient is φ = 16454750400.

The previous prime is 33968332991. The next prime is 33968333033. The reversal of 33968333025 is 52033386933.

The square root of 33968333025 is 184305.

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

33968333025 is a `hidden beast` number, since 339 + 6 + 8 + 3 + 3 + 302 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14611732641 + 19356600384 = 120879^2 + 139128^2 .

It is not a de Polignac number, because 33968333025 - 2²⁵ = 33934778593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30409767 + ... + 30410883.

Almost surely, 2^33968333025 is an apocalyptic number.

33968333025 is the 184305-th square number.

33968333025 is the 92153-rd centered octagonal number.

It is an amenable number.

33968333025 is a deficient number, since it is larger than the sum of its proper divisors (32966473368).

33968333025 is a wasteful number, since it uses less digits than its factorization.

33968333025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 33968333025 in words is "thirty-three billion, nine hundred sixty-eight million, three hundred thirty-three thousand, twenty-five".