33045045345 has 48 divisors (see below), whose sum is σ = 61739954640. Its totient is φ = 16253595648.

The previous prime is 33045045343. The next prime is 33045045353. The reversal of 33045045345 is 54354054033.

33045045345 is a `hidden beast` number, since 3 + 304 + 5 + 0 + 4 + 5 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17401039569 + 15644005776 = 131913^2 + 125076^2 .

It is not a de Polignac number, because 33045045345 - 2¹ = 33045045343 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33045045343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635449 + ... + 685481.

It is an arithmetic number, because the mean of its divisors is an integer number (1286249055).

Almost surely, 2^33045045345 is an apocalyptic number.

It is an amenable number.

33045045345 is a deficient number, since it is larger than the sum of its proper divisors (28694909295).

33045045345 is a wasteful number, since it uses less digits than its factorization.

33045045345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51186 (or 51183 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 33045045345 its reverse (54354054033), we get a palindrome (87399099378).

The spelling of 33045045345 in words is "thirty-three billion, forty-five million, forty-five thousand, three hundred forty-five".