405679615890817 has 2 divisors, whose sum is σ = 405679615890818. Its totient is φ = 405679615890816.

The previous prime is 405679615890739. The next prime is 405679615890833. The reversal of 405679615890817 is 718098516976504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373515302983936 + 32164312906881 = 19326544^2 + 5671359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405679615890817 is a prime.

It is not a weakly prime, because it can be changed into another prime (405679615890877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202839807945408 + 202839807945409.

It is an arithmetic number, because the mean of its divisors is an integer number (202839807945409).

Almost surely, 2^{405679615890817} is an apocalyptic number.

It is an amenable number.

405679615890817 is a deficient number, since it is larger than the sum of its proper divisors (1).

405679615890817 is an equidigital number, since it uses as much as digits as its factorization.

405679615890817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 914457600, while the sum is 76.

The spelling of 405679615890817 in words is "four hundred five trillion, six hundred seventy-nine billion, six hundred fifteen million, eight hundred ninety thousand, eight hundred seventeen".