33642541417 has 2 divisors, whose sum is σ = 33642541418. Its totient is φ = 33642541416.

The previous prime is 33642541397. The next prime is 33642541477. The reversal of 33642541417 is 71414524633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20672975961 + 12969565456 = 143781^2 + 113884^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33642541417 is a prime.

It is a super-2 number, since 2×33642541417² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33642541417.

It is not a weakly prime, because it can be changed into another prime (33642541477) 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 as a sum of consecutive naturals, namely, 16821270708 + 16821270709.

It is an arithmetic number, because the mean of its divisors is an integer number (16821270709).

Almost surely, 2^33642541417 is an apocalyptic number.

It is an amenable number.

33642541417 is a deficient number, since it is larger than the sum of its proper divisors (1).

33642541417 is an equidigital number, since it uses as much as digits as its factorization.

33642541417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 40.

The spelling of 33642541417 in words is "thirty-three billion, six hundred forty-two million, five hundred forty-one thousand, four hundred seventeen".