417614505361 has 9 divisors (see below), whose sum is σ = 436576637371. Its totient is φ = 399443135872.

The previous prime is 417614505359. The next prime is 417614505379. The reversal of 417614505361 is 163505416714.

The square root of 417614505361 is 646231.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 742835025 + 416871670336 = 27255^2 + 645656^2 .

It is not a de Polignac number, because 417614505361 - 2¹ = 417614505359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417614505761) 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 in 8 ways as a sum of consecutive naturals, for example, 14849265 + ... + 14877361.

Almost surely, 2^417614505361 is an apocalyptic number.

417614505361 is the 646231-st square number.

417614505361 is the 323116-th centered octagonal number.

It is an amenable number.

417614505361 is a deficient number, since it is larger than the sum of its proper divisors (18962132010).

417614505361 is an frugal number, since it uses more digits than its factorization.

417614505361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56240 (or 28120 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 417614505361 in words is "four hundred seventeen billion, six hundred fourteen million, five hundred five thousand, three hundred sixty-one".