33506645345 has 16 divisors (see below), whose sum is σ = 40403016192. Its totient is φ = 26675377920.

The previous prime is 33506645339. The next prime is 33506645371. The reversal of 33506645345 is 54354660533.

It is not a de Polignac number, because 33506645345 - 2³⁰ = 32432903521 is a prime.

It is a super-2 number, since 2×33506645345² (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 = 33506645296 and 33506645305.

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 15 ways as a sum of consecutive naturals, for example, 6066185 + ... + 6071705.

It is an arithmetic number, because the mean of its divisors is an integer number (2525188512).

Almost surely, 2^33506645345 is an apocalyptic number.

It is an amenable number.

33506645345 is a deficient number, since it is larger than the sum of its proper divisors (6896370847).

33506645345 is a wasteful number, since it uses less digits than its factorization.

33506645345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192.

The product of its (nonzero) digits is 1944000, while the sum is 44.

The spelling of 33506645345 in words is "thirty-three billion, five hundred six million, six hundred forty-five thousand, three hundred forty-five".