414154224225 has 108 divisors (see below), whose sum is σ = 863312293584. Its totient is φ = 189238472640.

The previous prime is 414154224199. The next prime is 414154224229. The reversal of 414154224225 is 522422451414.

414154224225 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 5 + 422 + 4 + 225 = 666.

It is not a de Polignac number, because 414154224225 - 2¹⁵ = 414154191457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414154224225.

It is not an unprimeable number, because it can be changed into a prime (414154224229) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27191062 + ... + 27206288.

It is an arithmetic number, because the mean of its divisors is an integer number (7993632348).

Almost surely, 2^414154224225 is an apocalyptic number.

414154224225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414154224225 is an abundant number, since it is smaller than the sum of its proper divisors (449158069359).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414154224225 is a wasteful number, since it uses less digits than its factorization.

414154224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17724 (or 17709 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 414154224225 its reverse (522422451414), we get a palindrome (936576675639).

The spelling of 414154224225 in words is "four hundred fourteen billion, one hundred fifty-four million, two hundred twenty-four thousand, two hundred twenty-five".