225687413808 has 200 divisors, whose sum is σ = 692102711520. Its totient is φ = 70755379200.

The previous prime is 225687413779. The next prime is 225687413827. The reversal of 225687413808 is 808314786522.

225687413808 is a `hidden beast` number, since 2 + 2 + 568 + 7 + 41 + 38 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45581733 + ... + 45586683.

Almost surely, 2^225687413808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225687413808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346051355760).

225687413808 is an abundant number, since it is smaller than the sum of its proper divisors (466415297712).

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

225687413808 is a wasteful number, since it uses less digits than its factorization.

225687413808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 225687413808 in words is "two hundred twenty-five billion, six hundred eighty-seven million, four hundred thirteen thousand, eight hundred eight".