225042427152 has 120 divisors (see below), whose sum is σ = 643038780384. Its totient is φ = 73454072832.

The previous prime is 225042427121. The next prime is 225042427153. The reversal of 225042427152 is 251724240522.

225042427152 is a `hidden beast` number, since 225 + 0 + 4 + 2 + 427 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×225042427152² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (225042427153) by changing a digit.

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, 1267263 + ... + 1433889.

Almost surely, 2^225042427152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225042427152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321519390192).

225042427152 is an abundant number, since it is smaller than the sum of its proper divisors (417996353232).

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

225042427152 is a wasteful number, since it uses less digits than its factorization.

225042427152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166837 (or 166828 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 225042427152 its reverse (251724240522), we get a palindrome (476766667674).

The spelling of 225042427152 in words is "two hundred twenty-five billion, forty-two million, four hundred twenty-seven thousand, one hundred fifty-two".