225403346304 has 192 divisors, whose sum is σ = 683480070000. Its totient is φ = 71104905216.

The previous prime is 225403346291. The next prime is 225403346369. The reversal of 225403346304 is 403643304522.

225403346304 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 0 + 3 + 346 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22955604 + ... + 22965420.

Almost surely, 2^225403346304 is an apocalyptic number.

225403346304 is a gapful number since it is divisible by the number (24) 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 225403346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341740035000).

225403346304 is an abundant number, since it is smaller than the sum of its proper divisors (458076723696).

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

225403346304 is a wasteful number, since it uses less digits than its factorization.

225403346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 225403346304 in words is "two hundred twenty-five billion, four hundred three million, three hundred forty-six thousand, three hundred four".