225826449408 has 144 divisors (see below), whose sum is σ = 745404135840. Its totient is φ = 64521805824.

The previous prime is 225826449391. The next prime is 225826449437. The reversal of 225826449408 is 804944628522.

225826449408 is a `hidden beast` number, since 225 + 8 + 2 + 6 + 4 + 4 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746110 + ... + 1004157.

It is an arithmetic number, because the mean of its divisors is an integer number (5176417610).

Almost surely, 2^225826449408 is an apocalyptic number.

225826449408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225826449408 is an abundant number, since it is smaller than the sum of its proper divisors (519577686432).

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

225826449408 is a wasteful number, since it uses less digits than its factorization.

225826449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750302 (or 1750279 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 225826449408 in words is "two hundred twenty-five billion, eight hundred twenty-six million, four hundred forty-nine thousand, four hundred eight".