418072162225 has 27 divisors (see below), whose sum is σ = 524660842083. Its totient is φ = 330472179840.

The previous prime is 418072162219. The next prime is 418072162231. The reversal of 418072162225 is 522261270814.

It is a happy number.

The square root of 418072162225 is 646585.

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

It is an interprime number because it is at equal distance from previous prime (418072162219) and next prime (418072162231).

It can be written as a sum of positive squares in 13 ways, for example, as 145613217649 + 272458944576 = 381593^2 + 521976^2 .

It is not a de Polignac number, because 418072162225 - 2⁷ = 418072162097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287729599 + ... + 287731051.

Almost surely, 2^418072162225 is an apocalyptic number.

418072162225 is the 646585-th square number.

418072162225 is the 323293-rd centered octagonal number.

It is an amenable number.

418072162225 is a deficient number, since it is larger than the sum of its proper divisors (106588679858).

418072162225 is an frugal number, since it uses more digits than its factorization.

418072162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 418072162225 in words is "four hundred eighteen billion, seventy-two million, one hundred sixty-two thousand, two hundred twenty-five".