418643938729 has 9 divisors (see below), whose sum is σ = 425659592631. Its totient is φ = 411742101720.

The previous prime is 418643938711. The next prime is 418643938751. The reversal of 418643938729 is 927839346814.

The square root of 418643938729 is 647027.

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., 13613522329 + 405030416400 = 116677^2 + 636420^2 .

It is not a de Polignac number, because 418643938729 - 2³³ = 410054004137 is a prime.

It is a super-2 number, since 2×418643938729² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418643938789) 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, 39463344 + ... + 39473950.

Almost surely, 2^418643938729 is an apocalyptic number.

418643938729 is the 647027-th square number.

418643938729 is the 323514-th centered octagonal number.

It is an amenable number.

418643938729 is a deficient number, since it is larger than the sum of its proper divisors (7015653902).

418643938729 is an frugal number, since it uses more digits than its factorization.

418643938729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21336 (or 10668 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 64.

Multiplying 418643938729 by its sum of digits (64), we get a square (26793212078656 = 5176216²).

The spelling of 418643938729 in words is "four hundred eighteen billion, six hundred forty-three million, nine hundred thirty-eight thousand, seven hundred twenty-nine".