33730946145 has 96 divisors (see below), whose sum is σ = 66466982400. Its totient is φ = 15687240192.

The previous prime is 33730946129. The next prime is 33730946149. The reversal of 33730946145 is 54164903733.

33730946145 is a `hidden beast` number, since 337 + 309 + 4 + 6 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 33730946145 - 2⁴ = 33730946129 is a prime.

It is a super-3 number, since 3×33730946145³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33730946145.

It is not an unprimeable number, because it can be changed into a prime (33730946149) 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 95 ways as a sum of consecutive naturals, for example, 4075071 + ... + 4083339.

It is an arithmetic number, because the mean of its divisors is an integer number (692364400).

Almost surely, 2^33730946145 is an apocalyptic number.

It is an amenable number.

33730946145 is a deficient number, since it is larger than the sum of its proper divisors (32736036255).

33730946145 is a wasteful number, since it uses less digits than its factorization.

33730946145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 33730946145 in words is "thirty-three billion, seven hundred thirty million, nine hundred forty-six thousand, one hundred forty-five".