13856184225 has 72 divisors (see below), whose sum is σ = 26907262200. Its totient is φ = 6775511040.

The previous prime is 13856184191. The next prime is 13856184227. The reversal of 13856184225 is 52248165831.

13856184225 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 618 + 4 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7434405729 + 6421778496 = 86223^2 + 80136^2 .

It is not a de Polignac number, because 13856184225 - 2¹¹ = 13856182177 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13856184227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419929 + ... + 451721.

It is an arithmetic number, because the mean of its divisors is an integer number (373711975).

Almost surely, 2^13856184225 is an apocalyptic number.

13856184225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13856184225 is a deficient number, since it is larger than the sum of its proper divisors (13051077975).

13856184225 is a wasteful number, since it uses less digits than its factorization.

13856184225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31971 (or 31963 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 13856184225 in words is "thirteen billion, eight hundred fifty-six million, one hundred eighty-four thousand, two hundred twenty-five".