418789948352164 has 27 divisors (see below), whose sum is σ = 733427381213793. Its totient is φ = 209239383662208.

The previous prime is 418789948352123. The next prime is 418789948352189. The reversal of 418789948352164 is 461253849987814.

The square root of 418789948352164 is 20464358.

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., 395943536788900 + 22846411563264 = 19898330^2 + 4779792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71502463924 + ... + 71502469780.

Almost surely, 2^{418789948352164} is an apocalyptic number.

418789948352164 is the 20464358-th square number.

It is an amenable number.

418789948352164 is a deficient number, since it is larger than the sum of its proper divisors (314637432861629).

418789948352164 is an frugal number, since it uses more digits than its factorization.

418789948352164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212 (or 7606 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 79.

The spelling of 418789948352164 in words is "four hundred eighteen trillion, seven hundred eighty-nine billion, nine hundred forty-eight million, three hundred fifty-two thousand, one hundred sixty-four".