418281682009 has 9 divisors (see below), whose sum is σ = 421584438751. Its totient is φ = 415004614960.

The previous prime is 418281681989. The next prime is 418281682019. The reversal of 418281682009 is 900286182814.

The square root of 418281682009 is 646747.

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., 181821224025 + 236460457984 = 426405^2 + 486272^2 .

It is not a de Polignac number, because 418281682009 - 2¹¹ = 418281679961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418281682019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84721389 + ... + 84726325.

Almost surely, 2^418281682009 is an apocalyptic number.

418281682009 is the 646747-th square number.

418281682009 is the 323374-th centered octagonal number.

It is an amenable number.

418281682009 is a deficient number, since it is larger than the sum of its proper divisors (3302756742).

418281682009 is an frugal number, since it uses more digits than its factorization.

418281682009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10136 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

Multiplying 418281682009 by its sum of digits (49), we get a square (20495802418441 = 4527229²).

The spelling of 418281682009 in words is "four hundred eighteen billion, two hundred eighty-one million, six hundred eighty-two thousand, nine".