225818880800 has 162 divisors, whose sum is σ = 563656191273. Its totient is φ = 88343690240.

The previous prime is 225818880799. The next prime is 225818880923. The reversal of 225818880800 is 8088818522.

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.

It can be written as a sum of positive squares in 14 ways, for example, as 44441699344 + 181377181456 = 210812^2 + 425884^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336020.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

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, 712362242 + ... + 712362558.

Almost surely, 2^225818880800 is an apocalyptic number.

225818880800 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 225818880800

225818880800 is an abundant number, since it is smaller than the sum of its proper divisors (337837310473).

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

225818880800 is an frugal number, since it uses more digits than its factorization.

225818880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 50.

Multiplying 225818880800 by its sum of digits (50), we get a square (11290944040000 = 3360200²).

225818880800 divided by its sum of digits (50) gives a square (4516377616 = 67204²).

The spelling of 225818880800 in words is "two hundred twenty-five billion, eight hundred eighteen million, eight hundred eighty thousand, eight hundred".