225340302540672 has 192 divisors, whose sum is σ = 733588906901760. Its totient is φ = 68284940060160.

The previous prime is 225340302540659. The next prime is 225340302540707. The reversal of 225340302540672 is 276045203043522.

225340302540672 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 4 + 0 + 30 + 2 + 540 + 6 + 72 = 666.

225340302540672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×225340302540672³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328964088 + ... + 329648375.

It is an arithmetic number, because the mean of its divisors is an integer number (3820775556780).

Almost surely, 2^{225340302540672} is an apocalyptic number.

225340302540672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225340302540672 is an abundant number, since it is smaller than the sum of its proper divisors (508248604361088).

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

225340302540672 is an equidigital number, since it uses as much as digits as its factorization.

225340302540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658612503 (or 658612479 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 225340302540672 in words is "two hundred twenty-five trillion, three hundred forty billion, three hundred two million, five hundred forty thousand, six hundred seventy-two".