225469555200 has 270 divisors, whose sum is σ = 807470475669. Its totient is φ = 60082237440.

The previous prime is 225469555193. The next prime is 225469555211. The reversal of 225469555200 is 2555964522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225469555200 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 95 + 552 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220960164096 + 4509391104 = 470064^2 + 67152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335760.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161164101 + ... + 161165499.

Almost surely, 2^225469555200 is an apocalyptic number.

225469555200 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 225469555200

225469555200 is an abundant number, since it is smaller than the sum of its proper divisors (582000920469).

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

225469555200 is an frugal number, since it uses more digits than its factorization.

225469555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 225469555200 in words is "two hundred twenty-five billion, four hundred sixty-nine million, five hundred fifty-five thousand, two hundred".