225469440000 has 1120 divisors, whose sum is σ = 958098810240. Its totient is φ = 51314688000.

The previous prime is 225469439963. The next prime is 225469440023. The reversal of 225469440000 is 44964522.

225469440000 is a `hidden beast` number, since 22 + 546 + 94 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 967679884 + ... + 967680116.

Almost surely, 2^225469440000 is an apocalyptic number.

225469440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225469440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479049405120).

225469440000 is an abundant number, since it is smaller than the sum of its proper divisors (732629370240).

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

225469440000 is an frugal number, since it uses more digits than its factorization.

225469440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 225469440000 in words is "two hundred twenty-five billion, four hundred sixty-nine million, four hundred forty thousand".