36414405225 has 96 divisors (see below), whose sum is σ = 74756465280. Its totient is φ = 17224704000.

The previous prime is 36414405199. The next prime is 36414405257. The reversal of 36414405225 is 52250441463.

36414405225 is a `hidden beast` number, since 3 + 641 + 4 + 4 + 0 + 5 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 36414405225 - 2⁵ = 36414405193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36414405225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244617 + ... + 364233.

It is an arithmetic number, because the mean of its divisors is an integer number (778713180).

Almost surely, 2^36414405225 is an apocalyptic number.

It is an amenable number.

36414405225 is an abundant number, since it is smaller than the sum of its proper divisors (38342060055).

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

36414405225 is a wasteful number, since it uses less digits than its factorization.

36414405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119688 (or 119677 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 36414405225 its reverse (52250441463), we get a palindrome (88664846688).

The spelling of 36414405225 in words is "thirty-six billion, four hundred fourteen million, four hundred five thousand, two hundred twenty-five".