225462132000 has 1728 divisors, whose sum is σ = 1014957216000. Its totient is φ = 47246976000.

The previous prime is 225462131971. The next prime is 225462132013. The reversal of 225462132000 is 231264522.

It is a happy number.

225462132000 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 621 + 32 + 0 + 0 + 0 = 666.

225462132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7272971985 + ... + 7272972015.

It is an arithmetic number, because the mean of its divisors is an integer number (587359500).

Almost surely, 2^225462132000 is an apocalyptic number.

225462132000 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 225462132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507478608000).

225462132000 is an abundant number, since it is smaller than the sum of its proper divisors (789495084000).

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

225462132000 is a wasteful number, since it uses less digits than its factorization.

225462132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 225462132000 its reverse (231264522), we get a palindrome (225693396522).

The spelling of 225462132000 in words is "two hundred twenty-five billion, four hundred sixty-two million, one hundred thirty-two thousand".