226468472625 has 48 divisors (see below), whose sum is σ = 409700575440. Its totient is φ = 120353184000.

The previous prime is 226468472617. The next prime is 226468472641. The reversal of 226468472625 is 526274864622.

226468472625 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 8 + 4 + 7 + 2 + 625 = 666.

226468472625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19930945329 + 206537527296 = 141177^2 + 454464^2 .

It is not a de Polignac number, because 226468472625 - 2³ = 226468472617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42070 + ... + 674319.

It is an arithmetic number, because the mean of its divisors is an integer number (8535428655).

Almost surely, 2^226468472625 is an apocalyptic number.

226468472625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226468472625 is a deficient number, since it is larger than the sum of its proper divisors (183232102815).

226468472625 is a wasteful number, since it uses less digits than its factorization.

226468472625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716691 (or 716678 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 226468472625 in words is "two hundred twenty-six billion, four hundred sixty-eight million, four hundred seventy-two thousand, six hundred twenty-five".