225289203334272 has 2304 divisors, whose sum is σ = 887061890856960. Its totient is φ = 55604695449600.

The previous prime is 225289203334241. The next prime is 225289203334303. The reversal of 225289203334272 is 272433302982522.

225289203334272 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 8 + 9 + 203 + 3 + 3 + 427 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (225289203334241) and next prime (225289203334303).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98767733772 + ... + 98767736052.

It is an arithmetic number, because the mean of its divisors is an integer number (385009501240).

Almost surely, 2^{225289203334272} is an apocalyptic number.

225289203334272 is a gapful number since it is divisible by the number (22) 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 225289203334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443530945428480).

225289203334272 is an abundant number, since it is smaller than the sum of its proper divisors (661772687522688).

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

225289203334272 is a wasteful number, since it uses less digits than its factorization.

225289203334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 225289203334272 in words is "two hundred twenty-five trillion, two hundred eighty-nine billion, two hundred three million, three hundred thirty-four thousand, two hundred seventy-two".