225378090459 has 48 divisors (see below), whose sum is σ = 347206080000. Its totient is φ = 140466021696.

The previous prime is 225378090451. The next prime is 225378090527. The reversal of 225378090459 is 954090873522.

225378090459 is a `hidden beast` number, since 2 + 25 + 3 + 7 + 80 + 90 + 459 = 666.

It is not a de Polignac number, because 225378090459 - 2³ = 225378090451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225378090451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34836477 + ... + 34842945.

It is an arithmetic number, because the mean of its divisors is an integer number (7233460000).

Almost surely, 2^225378090459 is an apocalyptic number.

225378090459 is a deficient number, since it is larger than the sum of its proper divisors (121827989541).

225378090459 is a wasteful number, since it uses less digits than its factorization.

225378090459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 225378090459 in words is "two hundred twenty-five billion, three hundred seventy-eight million, ninety thousand, four hundred fifty-nine".