45202418337017 has 2 divisors, whose sum is σ = 45202418337018. Its totient is φ = 45202418337016.

The previous prime is 45202418336963. The next prime is 45202418337029. The reversal of 45202418337017 is 71073381420254.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38765927560441 + 6436490776576 = 6226229^2 + 2537024^2 .

It is a cyclic number.

It is not a de Polignac number, because 45202418337017 - 2³⁴ = 45185238467833 is a prime.

It is not a weakly prime, because it can be changed into another prime (45202418337067) by changing a digit.

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 as a sum of consecutive naturals, namely, 22601209168508 + 22601209168509.

It is an arithmetic number, because the mean of its divisors is an integer number (22601209168509).

Almost surely, 2^{45202418337017} is an apocalyptic number.

It is an amenable number.

45202418337017 is a deficient number, since it is larger than the sum of its proper divisors (1).

45202418337017 is an equidigital number, since it uses as much as digits as its factorization.

45202418337017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 45202418337017 in words is "forty-five trillion, two hundred two billion, four hundred eighteen million, three hundred thirty-seven thousand, seventeen".