33345403345 has 8 divisors (see below), whose sum is σ = 40368595176. Its totient is φ = 26440248576.

The previous prime is 33345403339. The next prime is 33345403391. The reversal of 33345403345 is 54330454333.

It can be written as a sum of positive squares in 4 ways, for example, as 706283776 + 32639119569 = 26576^2 + 180663^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33345403345 - 2¹⁵ = 33345370577 is a prime.

It is a super-3 number, since 3×33345403345³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29508642 + ... + 29509771.

It is an arithmetic number, because the mean of its divisors is an integer number (5046074397).

Almost surely, 2^33345403345 is an apocalyptic number.

It is an amenable number.

33345403345 is a deficient number, since it is larger than the sum of its proper divisors (7023191831).

33345403345 is a wasteful number, since it uses less digits than its factorization.

33345403345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59018531.

The product of its (nonzero) digits is 388800, while the sum is 37.

Adding to 33345403345 its reverse (54330454333), we get a palindrome (87675857678).

The spelling of 33345403345 in words is "thirty-three billion, three hundred forty-five million, four hundred three thousand, three hundred forty-five".