36345217005 has 144 divisors (see below), whose sum is σ = 68435256240. Its totient is φ = 17818859520.

The previous prime is 36345217001. The next prime is 36345217043. The reversal of 36345217005 is 50071254363.

36345217005 is a `hidden beast` number, since 3 + 63 + 4 + 521 + 70 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 139499721 + 36205717284 = 11811^2 + 190278^2 .

It is not a de Polignac number, because 36345217005 - 2² = 36345217001 is a prime.

It is a super-3 number, since 3×36345217005³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36345217001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91549467 + ... + 91549863.

It is an arithmetic number, because the mean of its divisors is an integer number (475244835).

Almost surely, 2^36345217005 is an apocalyptic number.

It is an amenable number.

36345217005 is a deficient number, since it is larger than the sum of its proper divisors (32090039235).

36345217005 is a wasteful number, since it uses less digits than its factorization.

36345217005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 36345217005 in words is "thirty-six billion, three hundred forty-five million, two hundred seventeen thousand, five".