416090792617 has 2 divisors, whose sum is σ = 416090792618. Its totient is φ = 416090792616.

The previous prime is 416090792573. The next prime is 416090792633. The reversal of 416090792617 is 716297090614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 416090792601 + 16 = 645051^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 416090792617 - 2⁷ = 416090792489 is a prime.

It is not a weakly prime, because it can be changed into another prime (416090792717) 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, 208045396308 + 208045396309.

It is an arithmetic number, because the mean of its divisors is an integer number (208045396309).

Almost surely, 2^416090792617 is an apocalyptic number.

It is an amenable number.

416090792617 is a deficient number, since it is larger than the sum of its proper divisors (1).

416090792617 is an equidigital number, since it uses as much as digits as its factorization.

416090792617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 52.

It can be divided in two parts, 4160907 and 92617, that added together give a palindrome (4253524).

The spelling of 416090792617 in words is "four hundred sixteen billion, ninety million, seven hundred ninety-two thousand, six hundred seventeen".