418136823225 has 81 divisors (see below), whose sum is σ = 823413619119. Its totient is φ = 202681274400.

The previous prime is 418136823163. The next prime is 418136823227. The reversal of 418136823225 is 522328631814.

The square root of 418136823225 is 646635.

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

418136823225 is a `hidden beast` number, since 41 + 8 + 1 + 368 + 23 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150529256361 + 267607566864 = 387981^2 + 517308^2 .

It is not a de Polignac number, because 418136823225 - 2¹¹ = 418136821177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (418136823227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 106692816 + ... + 106696734.

Almost surely, 2^418136823225 is an apocalyptic number.

418136823225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

418136823225 is the 646635-th square number.

418136823225 is the 323318-th centered octagonal number.

It is an amenable number.

418136823225 is a deficient number, since it is larger than the sum of its proper divisors (405276795894).

418136823225 is an equidigital number, since it uses as much as digits as its factorization.

418136823225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 3938 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 418136823225 in words is "four hundred eighteen billion, one hundred thirty-six million, eight hundred twenty-three thousand, two hundred twenty-five".