45948128617 has 2 divisors, whose sum is σ = 45948128618. Its totient is φ = 45948128616.

The previous prime is 45948128609. The next prime is 45948128623. The reversal of 45948128617 is 71682184954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29750730256 + 16197398361 = 172484^2 + 127269^2 .

It is a cyclic number.

It is not a de Polignac number, because 45948128617 - 2³ = 45948128609 is a prime.

It is a super-3 number, since 3×45948128617³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (45948128627) 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, 22974064308 + 22974064309.

It is an arithmetic number, because the mean of its divisors is an integer number (22974064309).

Almost surely, 2^45948128617 is an apocalyptic number.

It is an amenable number.

45948128617 is a deficient number, since it is larger than the sum of its proper divisors (1).

45948128617 is an equidigital number, since it uses as much as digits as its factorization.

45948128617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3870720, while the sum is 55.

The spelling of 45948128617 in words is "forty-five billion, nine hundred forty-eight million, one hundred twenty-eight thousand, six hundred seventeen".